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Finding the Fourth Proportional to 13,187.32, 19,780.47 and 3,326.47

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Solution

The fourth proportional to 13,187.32, 19,780.47 and 3,326.47 is: 4,989.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.32 : 19,780.47 = 3,326.47 : x
  2. Step 2: Convert to fraction form
    13,187.32/19,780.47 = 3,326.47/x
  3. Step 3: Cross multiply
    13,187.32x = 19,780.47 × 3,326.47
  4. Step 4: Simplify right side
    13,187.32x = 65,799,140.04
  5. Step 5: Solve for x
    x = 65,799,140.04/13,187.32
  6. Step 6: Final answer
    x = 4,989.58

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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.