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Finding the Fourth Proportional to 15,718.14, 23,569.74 and 9,146.16

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Solution

The fourth proportional to 15,718.14, 23,569.74 and 9,146.16 is: 13,714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,718.14 : 23,569.74 = 9,146.16 : x
  2. Step 2: Convert to fraction form
    15,718.14/23,569.74 = 9,146.16/x
  3. Step 3: Cross multiply
    15,718.14x = 23,569.74 × 9,146.16
  4. Step 4: Simplify right side
    15,718.14x = 215,572,613.20
  5. Step 5: Solve for x
    x = 215,572,613.20/15,718.14
  6. Step 6: Final answer
    x = 13,714.89

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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.