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Finding the Fourth Proportional to 14,872.52, 22,308.78 and 6,114.80

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Solution

The fourth proportional to 14,872.52, 22,308.78 and 6,114.80 is: 9,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.52 : 22,308.78 = 6,114.80 : x
  2. Step 2: Convert to fraction form
    14,872.52/22,308.78 = 6,114.80/x
  3. Step 3: Cross multiply
    14,872.52x = 22,308.78 × 6,114.80
  4. Step 4: Simplify right side
    14,872.52x = 136,413,727.94
  5. Step 5: Solve for x
    x = 136,413,727.94/14,872.52
  6. Step 6: Final answer
    x = 9,172.20

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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.