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Finding the Fourth Proportional to 13,309.92, 19,947.48 and 9,624.48

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Solution

The fourth proportional to 13,309.92, 19,947.48 and 9,624.48 is: 14,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,309.92 : 19,947.48 = 9,624.48 : x
  2. Step 2: Convert to fraction form
    13,309.92/19,947.48 = 9,624.48/x
  3. Step 3: Cross multiply
    13,309.92x = 19,947.48 × 9,624.48
  4. Step 4: Simplify right side
    13,309.92x = 191,984,122.31
  5. Step 5: Solve for x
    x = 191,984,122.31/13,309.92
  6. Step 6: Final answer
    x = 14,424.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.