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Finding the Fourth Proportional to 11,646.89, 17,470.12 and 2,881.80

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Solution

The fourth proportional to 11,646.89, 17,470.12 and 2,881.80 is: 4,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.89 : 17,470.12 = 2,881.80 : x
  2. Step 2: Convert to fraction form
    11,646.89/17,470.12 = 2,881.80/x
  3. Step 3: Cross multiply
    11,646.89x = 17,470.12 × 2,881.80
  4. Step 4: Simplify right side
    11,646.89x = 50,345,384.61
  5. Step 5: Solve for x
    x = 50,345,384.61/11,646.89
  6. Step 6: Final answer
    x = 4,322.65

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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.