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Finding the Fourth Proportional to 17,461.92, 24,105.70 and 11,177.94

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Solution

The fourth proportional to 17,461.92, 24,105.70 and 11,177.94 is: 15,430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.92 : 24,105.70 = 11,177.94 : x
  2. Step 2: Convert to fraction form
    17,461.92/24,105.70 = 11,177.94/x
  3. Step 3: Cross multiply
    17,461.92x = 24,105.70 × 11,177.94
  4. Step 4: Simplify right side
    17,461.92x = 269,452,068.26
  5. Step 5: Solve for x
    x = 269,452,068.26/17,461.92
  6. Step 6: Final answer
    x = 15,430.84

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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.