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Finding the Fourth Proportional to 16,095.20, 22,564 and 16,095.20

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Solution

The fourth proportional to 16,095.20, 22,564 and 16,095.20 is: 22,564

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,095.20 : 22,564 = 16,095.20 : x
  2. Step 2: Convert to fraction form
    16,095.20/22,564 = 16,095.20/x
  3. Step 3: Cross multiply
    16,095.20x = 22,564 × 16,095.20
  4. Step 4: Simplify right side
    16,095.20x = 363,172,092.80
  5. Step 5: Solve for x
    x = 363,172,092.80/16,095.20
  6. Step 6: Final answer
    x = 22,564

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.