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Finding the Fourth Proportional to 20,962.69, 31,437.35 and 6,920.09

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Solution

The fourth proportional to 20,962.69, 31,437.35 and 6,920.09 is: 10,377.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,962.69 : 31,437.35 = 6,920.09 : x
  2. Step 2: Convert to fraction form
    20,962.69/31,437.35 = 6,920.09/x
  3. Step 3: Cross multiply
    20,962.69x = 31,437.35 × 6,920.09
  4. Step 4: Simplify right side
    20,962.69x = 217,549,134.17
  5. Step 5: Solve for x
    x = 217,549,134.17/20,962.69
  6. Step 6: Final answer
    x = 10,377.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.