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Finding the Fourth Proportional to 16,259.80, 22,437.36 and 9,545.70

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Solution

The fourth proportional to 16,259.80, 22,437.36 and 9,545.70 is: 13,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,259.80 : 22,437.36 = 9,545.70 : x
  2. Step 2: Convert to fraction form
    16,259.80/22,437.36 = 9,545.70/x
  3. Step 3: Cross multiply
    16,259.80x = 22,437.36 × 9,545.70
  4. Step 4: Simplify right side
    16,259.80x = 214,180,307.35
  5. Step 5: Solve for x
    x = 214,180,307.35/16,259.80
  6. Step 6: Final answer
    x = 13,172.38

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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.