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Finding the Fourth Proportional to 20,329.96, 30,497.88 and 6,291.16

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Solution

The fourth proportional to 20,329.96, 30,497.88 and 6,291.16 is: 9,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,329.96 : 30,497.88 = 6,291.16 : x
  2. Step 2: Convert to fraction form
    20,329.96/30,497.88 = 6,291.16/x
  3. Step 3: Cross multiply
    20,329.96x = 30,497.88 × 6,291.16
  4. Step 4: Simplify right side
    20,329.96x = 191,867,042.74
  5. Step 5: Solve for x
    x = 191,867,042.74/20,329.96
  6. Step 6: Final answer
    x = 9,437.65

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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.