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Finding the Fourth Proportional to 20,715.65, 28,587.92 and 11,284.21

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Solution

The fourth proportional to 20,715.65, 28,587.92 and 11,284.21 is: 15,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,715.65 : 28,587.92 = 11,284.21 : x
  2. Step 2: Convert to fraction form
    20,715.65/28,587.92 = 11,284.21/x
  3. Step 3: Cross multiply
    20,715.65x = 28,587.92 × 11,284.21
  4. Step 4: Simplify right side
    20,715.65x = 322,592,092.74
  5. Step 5: Solve for x
    x = 322,592,092.74/20,715.65
  6. Step 6: Final answer
    x = 15,572.39

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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.