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Finding the Fourth Proportional to 23,319.71, 32,180.39 and 12,709.13

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Solution

The fourth proportional to 23,319.71, 32,180.39 and 12,709.13 is: 17,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,319.71 : 32,180.39 = 12,709.13 : x
  2. Step 2: Convert to fraction form
    23,319.71/32,180.39 = 12,709.13/x
  3. Step 3: Cross multiply
    23,319.71x = 32,180.39 × 12,709.13
  4. Step 4: Simplify right side
    23,319.71x = 408,984,696.42
  5. Step 5: Solve for x
    x = 408,984,696.42/23,319.71
  6. Step 6: Final answer
    x = 17,538.16

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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.