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Finding the Fourth Proportional to 20,041.18, 27,658.89 and 11,543.63

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Solution

The fourth proportional to 20,041.18, 27,658.89 and 11,543.63 is: 15,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,041.18 : 27,658.89 = 11,543.63 : x
  2. Step 2: Convert to fraction form
    20,041.18/27,658.89 = 11,543.63/x
  3. Step 3: Cross multiply
    20,041.18x = 27,658.89 × 11,543.63
  4. Step 4: Simplify right side
    20,041.18x = 319,283,854.08
  5. Step 5: Solve for x
    x = 319,283,854.08/20,041.18
  6. Step 6: Final answer
    x = 15,931.39

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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.