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Finding the Fourth Proportional to 11,123.84, 15,318.24 and 9,944.48

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Solution

The fourth proportional to 11,123.84, 15,318.24 and 9,944.48 is: 13,694.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,123.84 : 15,318.24 = 9,944.48 : x
  2. Step 2: Convert to fraction form
    11,123.84/15,318.24 = 9,944.48/x
  3. Step 3: Cross multiply
    11,123.84x = 15,318.24 × 9,944.48
  4. Step 4: Simplify right side
    11,123.84x = 152,331,931.32
  5. Step 5: Solve for x
    x = 152,331,931.32/11,123.84
  6. Step 6: Final answer
    x = 13,694.19

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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.