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Finding the Fourth Proportional to 14,502.72, 21,737.28 and 6,695.28

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Solution

The fourth proportional to 14,502.72, 21,737.28 and 6,695.28 is: 10,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502.72 : 21,737.28 = 6,695.28 : x
  2. Step 2: Convert to fraction form
    14,502.72/21,737.28 = 6,695.28/x
  3. Step 3: Cross multiply
    14,502.72x = 21,737.28 × 6,695.28
  4. Step 4: Simplify right side
    14,502.72x = 145,537,176.04
  5. Step 5: Solve for x
    x = 145,537,176.04/14,502.72
  6. Step 6: Final answer
    x = 10,035.16

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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.