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Finding the Fourth Proportional to 11,957.48, 16,491.49 and 10,614.07

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Solution

The fourth proportional to 11,957.48, 16,491.49 and 10,614.07 is: 14,638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,957.48 : 16,491.49 = 10,614.07 : x
  2. Step 2: Convert to fraction form
    11,957.48/16,491.49 = 10,614.07/x
  3. Step 3: Cross multiply
    11,957.48x = 16,491.49 × 10,614.07
  4. Step 4: Simplify right side
    11,957.48x = 175,041,693.74
  5. Step 5: Solve for x
    x = 175,041,693.74/11,957.48
  6. Step 6: Final answer
    x = 14,638.68

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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.