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Finding the Fourth Proportional to 20,702.86, 30,895.24 and 18,488.46

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Solution

The fourth proportional to 20,702.86, 30,895.24 and 18,488.46 is: 27,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.86 : 30,895.24 = 18,488.46 : x
  2. Step 2: Convert to fraction form
    20,702.86/30,895.24 = 18,488.46/x
  3. Step 3: Cross multiply
    20,702.86x = 30,895.24 × 18,488.46
  4. Step 4: Simplify right side
    20,702.86x = 571,205,316.49
  5. Step 5: Solve for x
    x = 571,205,316.49/20,702.86
  6. Step 6: Final answer
    x = 27,590.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.