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Finding the Fourth Proportional to 16,578.84, 24,835.86 and 8,776.92

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Solution

The fourth proportional to 16,578.84, 24,835.86 and 8,776.92 is: 13,148.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.84 : 24,835.86 = 8,776.92 : x
  2. Step 2: Convert to fraction form
    16,578.84/24,835.86 = 8,776.92/x
  3. Step 3: Cross multiply
    16,578.84x = 24,835.86 × 8,776.92
  4. Step 4: Simplify right side
    16,578.84x = 217,982,356.35
  5. Step 5: Solve for x
    x = 217,982,356.35/16,578.84
  6. Step 6: Final answer
    x = 13,148.23

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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.