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Finding the Fourth Proportional to 24,143.84, 36,206.88 and 8,344.88

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Solution

The fourth proportional to 24,143.84, 36,206.88 and 8,344.88 is: 12,514.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,143.84 : 36,206.88 = 8,344.88 : x
  2. Step 2: Convert to fraction form
    24,143.84/36,206.88 = 8,344.88/x
  3. Step 3: Cross multiply
    24,143.84x = 36,206.88 × 8,344.88
  4. Step 4: Simplify right side
    24,143.84x = 302,142,068.77
  5. Step 5: Solve for x
    x = 302,142,068.77/24,143.84
  6. Step 6: Final answer
    x = 12,514.25

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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.