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Finding the Fourth Proportional to 11,869.34, 17,777.88 and 10,269.18

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Solution

The fourth proportional to 11,869.34, 17,777.88 and 10,269.18 is: 15,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869.34 : 17,777.88 = 10,269.18 : x
  2. Step 2: Convert to fraction form
    11,869.34/17,777.88 = 10,269.18/x
  3. Step 3: Cross multiply
    11,869.34x = 17,777.88 × 10,269.18
  4. Step 4: Simplify right side
    11,869.34x = 182,564,249.74
  5. Step 5: Solve for x
    x = 182,564,249.74/11,869.34
  6. Step 6: Final answer
    x = 15,381.17

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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.