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Finding the Fourth Proportional to 14,502.81, 21,754.34 and 5,737.71

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Solution

The fourth proportional to 14,502.81, 21,754.34 and 5,737.71 is: 8,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.81 : 21,754.34 = 5,737.71 : x
  2. Step 2: Convert to fraction form
    14,502.81/21,754.34 = 5,737.71/x
  3. Step 3: Cross multiply
    14,502.81x = 21,754.34 × 5,737.71
  4. Step 4: Simplify right side
    14,502.81x = 124,820,094.16
  5. Step 5: Solve for x
    x = 124,820,094.16/14,502.81
  6. Step 6: Final answer
    x = 8,606.61

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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.