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Finding the Fourth Proportional to 23,312.71, 32,171.78 and 12,702.52

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Solution

The fourth proportional to 23,312.71, 32,171.78 and 12,702.52 is: 17,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.71 : 32,171.78 = 12,702.52 : x
  2. Step 2: Convert to fraction form
    23,312.71/32,171.78 = 12,702.52/x
  3. Step 3: Cross multiply
    23,312.71x = 32,171.78 × 12,702.52
  4. Step 4: Simplify right side
    23,312.71x = 408,662,534.94
  5. Step 5: Solve for x
    x = 408,662,534.94/23,312.71
  6. Step 6: Final answer
    x = 17,529.60

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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.