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Finding the Fourth Proportional to 22,652.46, 33,966.54 and 9,501.30

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Solution

The fourth proportional to 22,652.46, 33,966.54 and 9,501.30 is: 14,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.46 : 33,966.54 = 9,501.30 : x
  2. Step 2: Convert to fraction form
    22,652.46/33,966.54 = 9,501.30/x
  3. Step 3: Cross multiply
    22,652.46x = 33,966.54 × 9,501.30
  4. Step 4: Simplify right side
    22,652.46x = 322,726,286.50
  5. Step 5: Solve for x
    x = 322,726,286.50/22,652.46
  6. Step 6: Final answer
    x = 14,246.85

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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.