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Finding the Fourth Proportional to 21,545.64, 29,735.64 and 12,114

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Solution

The fourth proportional to 21,545.64, 29,735.64 and 12,114 is: 16,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,545.64 : 29,735.64 = 12,114 : x
  2. Step 2: Convert to fraction form
    21,545.64/29,735.64 = 12,114/x
  3. Step 3: Cross multiply
    21,545.64x = 29,735.64 × 12,114
  4. Step 4: Simplify right side
    21,545.64x = 360,217,542.96
  5. Step 5: Solve for x
    x = 360,217,542.96/21,545.64
  6. Step 6: Final answer
    x = 16,718.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.