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Finding the Fourth Proportional to 17,461.68, 24,105.36 and 11,177.70

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Solution

The fourth proportional to 17,461.68, 24,105.36 and 11,177.70 is: 15,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.68 : 24,105.36 = 11,177.70 : x
  2. Step 2: Convert to fraction form
    17,461.68/24,105.36 = 11,177.70/x
  3. Step 3: Cross multiply
    17,461.68x = 24,105.36 × 11,177.70
  4. Step 4: Simplify right side
    17,461.68x = 269,442,482.47
  5. Step 5: Solve for x
    x = 269,442,482.47/17,461.68
  6. Step 6: Final answer
    x = 15,430.50

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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.