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Finding the Fourth Proportional to 15,712.29, 23,568.39 and 9,873

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Solution

The fourth proportional to 15,712.29, 23,568.39 and 9,873 is: 14,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,712.29 : 23,568.39 = 9,873 : x
  2. Step 2: Convert to fraction form
    15,712.29/23,568.39 = 9,873/x
  3. Step 3: Cross multiply
    15,712.29x = 23,568.39 × 9,873
  4. Step 4: Simplify right side
    15,712.29x = 232,690,714.47
  5. Step 5: Solve for x
    x = 232,690,714.47/15,712.29
  6. Step 6: Final answer
    x = 14,809.47

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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.