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Finding the Fourth Proportional to 15,305.33, 22,966.85 and 6,419.87

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Solution

The fourth proportional to 15,305.33, 22,966.85 and 6,419.87 is: 9,633.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,305.33 : 22,966.85 = 6,419.87 : x
  2. Step 2: Convert to fraction form
    15,305.33/22,966.85 = 6,419.87/x
  3. Step 3: Cross multiply
    15,305.33x = 22,966.85 × 6,419.87
  4. Step 4: Simplify right side
    15,305.33x = 147,444,076.48
  5. Step 5: Solve for x
    x = 147,444,076.48/15,305.33
  6. Step 6: Final answer
    x = 9,633.51

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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.