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Finding the Fourth Proportional to 13,329.50, 19,978.34 and 6,204.15

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Solution

The fourth proportional to 13,329.50, 19,978.34 and 6,204.15 is: 9,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,329.50 : 19,978.34 = 6,204.15 : x
  2. Step 2: Convert to fraction form
    13,329.50/19,978.34 = 6,204.15/x
  3. Step 3: Cross multiply
    13,329.50x = 19,978.34 × 6,204.15
  4. Step 4: Simplify right side
    13,329.50x = 123,948,618.11
  5. Step 5: Solve for x
    x = 123,948,618.11/13,329.50
  6. Step 6: Final answer
    x = 9,298.82

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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.