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Finding the Fourth Proportional to 16,565.32, 22,841.01 and 13,205.52

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Solution

The fourth proportional to 16,565.32, 22,841.01 and 13,205.52 is: 18,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.32 : 22,841.01 = 13,205.52 : x
  2. Step 2: Convert to fraction form
    16,565.32/22,841.01 = 13,205.52/x
  3. Step 3: Cross multiply
    16,565.32x = 22,841.01 × 13,205.52
  4. Step 4: Simplify right side
    16,565.32x = 301,627,414.38
  5. Step 5: Solve for x
    x = 301,627,414.38/16,565.32
  6. Step 6: Final answer
    x = 18,208.37

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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.