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Finding the Fourth Proportional to 14,901.72, 22,355.46 and 5,667

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Solution

The fourth proportional to 14,901.72, 22,355.46 and 5,667 is: 8,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,901.72 : 22,355.46 = 5,667 : x
  2. Step 2: Convert to fraction form
    14,901.72/22,355.46 = 5,667/x
  3. Step 3: Cross multiply
    14,901.72x = 22,355.46 × 5,667
  4. Step 4: Simplify right side
    14,901.72x = 126,688,391.82
  5. Step 5: Solve for x
    x = 126,688,391.82/14,901.72
  6. Step 6: Final answer
    x = 8,501.60

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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.