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Finding the Fourth Proportional to 14,777.72, 22,154.10 and 6,876.16

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Solution

The fourth proportional to 14,777.72, 22,154.10 and 6,876.16 is: 10,308.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.72 : 22,154.10 = 6,876.16 : x
  2. Step 2: Convert to fraction form
    14,777.72/22,154.10 = 6,876.16/x
  3. Step 3: Cross multiply
    14,777.72x = 22,154.10 × 6,876.16
  4. Step 4: Simplify right side
    14,777.72x = 152,335,136.26
  5. Step 5: Solve for x
    x = 152,335,136.26/14,777.72
  6. Step 6: Final answer
    x = 10,308.43

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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.