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Finding the Fourth Proportional to 16,274.30, 24,411.44 and 8,498.30

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Solution

The fourth proportional to 16,274.30, 24,411.44 and 8,498.30 is: 12,747.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.30 : 24,411.44 = 8,498.30 : x
  2. Step 2: Convert to fraction form
    16,274.30/24,411.44 = 8,498.30/x
  3. Step 3: Cross multiply
    16,274.30x = 24,411.44 × 8,498.30
  4. Step 4: Simplify right side
    16,274.30x = 207,455,639.74
  5. Step 5: Solve for x
    x = 207,455,639.74/16,274.30
  6. Step 6: Final answer
    x = 12,747.44

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.