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Finding the Fourth Proportional to 24,513.40, 36,770.10 and 9,714.70

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Solution

The fourth proportional to 24,513.40, 36,770.10 and 9,714.70 is: 14,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,513.40 : 36,770.10 = 9,714.70 : x
  2. Step 2: Convert to fraction form
    24,513.40/36,770.10 = 9,714.70/x
  3. Step 3: Cross multiply
    24,513.40x = 36,770.10 × 9,714.70
  4. Step 4: Simplify right side
    24,513.40x = 357,210,490.47
  5. Step 5: Solve for x
    x = 357,210,490.47/24,513.40
  6. Step 6: Final answer
    x = 14,572.05

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