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Finding the Fourth Proportional to 11,470.83, 17,177.09 and 10,508.55

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Solution

The fourth proportional to 11,470.83, 17,177.09 and 10,508.55 is: 15,736.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,470.83 : 17,177.09 = 10,508.55 : x
  2. Step 2: Convert to fraction form
    11,470.83/17,177.09 = 10,508.55/x
  3. Step 3: Cross multiply
    11,470.83x = 17,177.09 × 10,508.55
  4. Step 4: Simplify right side
    11,470.83x = 180,506,256.58
  5. Step 5: Solve for x
    x = 180,506,256.58/11,470.83
  6. Step 6: Final answer
    x = 15,736.11

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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.