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Finding the Fourth Proportional to 11,417.81, 15,748.80 and 9,923.18

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Solution

The fourth proportional to 11,417.81, 15,748.80 and 9,923.18 is: 13,687.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.81 : 15,748.80 = 9,923.18 : x
  2. Step 2: Convert to fraction form
    11,417.81/15,748.80 = 9,923.18/x
  3. Step 3: Cross multiply
    11,417.81x = 15,748.80 × 9,923.18
  4. Step 4: Simplify right side
    11,417.81x = 156,278,177.18
  5. Step 5: Solve for x
    x = 156,278,177.18/11,417.81
  6. Step 6: Final answer
    x = 13,687.23

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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.