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Finding the Fourth Proportional to 12,749.88, 17,585.10 and 9,224.76

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Solution

The fourth proportional to 12,749.88, 17,585.10 and 9,224.76 is: 12,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749.88 : 17,585.10 = 9,224.76 : x
  2. Step 2: Convert to fraction form
    12,749.88/17,585.10 = 9,224.76/x
  3. Step 3: Cross multiply
    12,749.88x = 17,585.10 × 9,224.76
  4. Step 4: Simplify right side
    12,749.88x = 162,218,327.08
  5. Step 5: Solve for x
    x = 162,218,327.08/12,749.88
  6. Step 6: Final answer
    x = 12,723.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.