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Finding the Fourth Proportional to 23,710.16, 32,719.20 and 13,100.42

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Solution

The fourth proportional to 23,710.16, 32,719.20 and 13,100.42 is: 18,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,710.16 : 32,719.20 = 13,100.42 : x
  2. Step 2: Convert to fraction form
    23,710.16/32,719.20 = 13,100.42/x
  3. Step 3: Cross multiply
    23,710.16x = 32,719.20 × 13,100.42
  4. Step 4: Simplify right side
    23,710.16x = 428,635,262.06
  5. Step 5: Solve for x
    x = 428,635,262.06/23,710.16
  6. Step 6: Final answer
    x = 18,078.13

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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.