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Finding the Fourth Proportional to 13,565.38, 18,721.77 and 8,263.30

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Solution

The fourth proportional to 13,565.38, 18,721.77 and 8,263.30 is: 11,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,565.38 : 18,721.77 = 8,263.30 : x
  2. Step 2: Convert to fraction form
    13,565.38/18,721.77 = 8,263.30/x
  3. Step 3: Cross multiply
    13,565.38x = 18,721.77 × 8,263.30
  4. Step 4: Simplify right side
    13,565.38x = 154,703,602.04
  5. Step 5: Solve for x
    x = 154,703,602.04/13,565.38
  6. Step 6: Final answer
    x = 11,404.30

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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.