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Finding the Fourth Proportional to 10,224.68, 15,313.80 and 9,042.44

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Solution

The fourth proportional to 10,224.68, 15,313.80 and 9,042.44 is: 13,543.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.68 : 15,313.80 = 9,042.44 : x
  2. Step 2: Convert to fraction form
    10,224.68/15,313.80 = 9,042.44/x
  3. Step 3: Cross multiply
    10,224.68x = 15,313.80 × 9,042.44
  4. Step 4: Simplify right side
    10,224.68x = 138,474,117.67
  5. Step 5: Solve for x
    x = 138,474,117.67/10,224.68
  6. Step 6: Final answer
    x = 13,543.12

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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.