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Finding the Fourth Proportional to 14,502.40, 21,760.80 and 5,737.60

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Solution

The fourth proportional to 14,502.40, 21,760.80 and 5,737.60 is: 8,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.40 : 21,760.80 = 5,737.60 : x
  2. Step 2: Convert to fraction form
    14,502.40/21,760.80 = 5,737.60/x
  3. Step 3: Cross multiply
    14,502.40x = 21,760.80 × 5,737.60
  4. Step 4: Simplify right side
    14,502.40x = 124,854,766.08
  5. Step 5: Solve for x
    x = 124,854,766.08/14,502.40
  6. Step 6: Final answer
    x = 8,609.25

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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.