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Finding the Fourth Proportional to 12,614.60, 17,411.14 and 7,312.32

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Solution

The fourth proportional to 12,614.60, 17,411.14 and 7,312.32 is: 10,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.60 : 17,411.14 = 7,312.32 : x
  2. Step 2: Convert to fraction form
    12,614.60/17,411.14 = 7,312.32/x
  3. Step 3: Cross multiply
    12,614.60x = 17,411.14 × 7,312.32
  4. Step 4: Simplify right side
    12,614.60x = 127,315,827.24
  5. Step 5: Solve for x
    x = 127,315,827.24/12,614.60
  6. Step 6: Final answer
    x = 10,092.74

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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.