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Finding the Fourth Proportional to 12,737.71, 19,086.34 and 8,562.36

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Solution

The fourth proportional to 12,737.71, 19,086.34 and 8,562.36 is: 12,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.71 : 19,086.34 = 8,562.36 : x
  2. Step 2: Convert to fraction form
    12,737.71/19,086.34 = 8,562.36/x
  3. Step 3: Cross multiply
    12,737.71x = 19,086.34 × 8,562.36
  4. Step 4: Simplify right side
    12,737.71x = 163,424,114.16
  5. Step 5: Solve for x
    x = 163,424,114.16/12,737.71
  6. Step 6: Final answer
    x = 12,829.94

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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.