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Finding the Fourth Proportional to 16,461.90, 24,656.40 and 13,545.90

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Solution

The fourth proportional to 16,461.90, 24,656.40 and 13,545.90 is: 20,288.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.90 : 24,656.40 = 13,545.90 : x
  2. Step 2: Convert to fraction form
    16,461.90/24,656.40 = 13,545.90/x
  3. Step 3: Cross multiply
    16,461.90x = 24,656.40 × 13,545.90
  4. Step 4: Simplify right side
    16,461.90x = 333,993,128.76
  5. Step 5: Solve for x
    x = 333,993,128.76/16,461.90
  6. Step 6: Final answer
    x = 20,288.86

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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.