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Finding the Fourth Proportional to 24,204.71, 36,310.52 and 11,714.46

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Solution

The fourth proportional to 24,204.71, 36,310.52 and 11,714.46 is: 17,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,204.71 : 36,310.52 = 11,714.46 : x
  2. Step 2: Convert to fraction form
    24,204.71/36,310.52 = 11,714.46/x
  3. Step 3: Cross multiply
    24,204.71x = 36,310.52 × 11,714.46
  4. Step 4: Simplify right side
    24,204.71x = 425,358,172.19
  5. Step 5: Solve for x
    x = 425,358,172.19/24,204.71
  6. Step 6: Final answer
    x = 17,573.37

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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.