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Finding the Fourth Proportional to 23,312.68, 32,171.58 and 12,702.40

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Solution

The fourth proportional to 23,312.68, 32,171.58 and 12,702.40 is: 17,529.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312.68 : 32,171.58 = 12,702.40 : x
  2. Step 2: Convert to fraction form
    23,312.68/32,171.58 = 12,702.40/x
  3. Step 3: Cross multiply
    23,312.68x = 32,171.58 × 12,702.40
  4. Step 4: Simplify right side
    23,312.68x = 408,656,277.79
  5. Step 5: Solve for x
    x = 408,656,277.79/23,312.68
  6. Step 6: Final answer
    x = 17,529.36

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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.