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Finding the Fourth Proportional to 23,708.16, 32,714.47 and 13,097.16

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Solution

The fourth proportional to 23,708.16, 32,714.47 and 13,097.16 is: 18,072.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,708.16 : 32,714.47 = 13,097.16 : x
  2. Step 2: Convert to fraction form
    23,708.16/32,714.47 = 13,097.16/x
  3. Step 3: Cross multiply
    23,708.16x = 32,714.47 × 13,097.16
  4. Step 4: Simplify right side
    23,708.16x = 428,466,647.91
  5. Step 5: Solve for x
    x = 428,466,647.91/23,708.16
  6. Step 6: Final answer
    x = 18,072.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.