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Finding the Fourth Proportional to 12,685.60, 19,042.07 and 7,144.29

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Solution

The fourth proportional to 12,685.60, 19,042.07 and 7,144.29 is: 10,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,685.60 : 19,042.07 = 7,144.29 : x
  2. Step 2: Convert to fraction form
    12,685.60/19,042.07 = 7,144.29/x
  3. Step 3: Cross multiply
    12,685.60x = 19,042.07 × 7,144.29
  4. Step 4: Simplify right side
    12,685.60x = 136,042,070.28
  5. Step 5: Solve for x
    x = 136,042,070.28/12,685.60
  6. Step 6: Final answer
    x = 10,724.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.