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Finding the Fourth Proportional to 14,502.08, 21,737.64 and 5,733.20

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Solution

The fourth proportional to 14,502.08, 21,737.64 and 5,733.20 is: 8,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.08 : 21,737.64 = 5,733.20 : x
  2. Step 2: Convert to fraction form
    14,502.08/21,737.64 = 5,733.20/x
  3. Step 3: Cross multiply
    14,502.08x = 21,737.64 × 5,733.20
  4. Step 4: Simplify right side
    14,502.08x = 124,626,237.65
  5. Step 5: Solve for x
    x = 124,626,237.65/14,502.08
  6. Step 6: Final answer
    x = 8,593.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.