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Finding the Fourth Proportional to 13,499.64, 20,248.56 and 6,484.68

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Solution

The fourth proportional to 13,499.64, 20,248.56 and 6,484.68 is: 9,726.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,499.64 : 20,248.56 = 6,484.68 : x
  2. Step 2: Convert to fraction form
    13,499.64/20,248.56 = 6,484.68/x
  3. Step 3: Cross multiply
    13,499.64x = 20,248.56 × 6,484.68
  4. Step 4: Simplify right side
    13,499.64x = 131,305,432.06
  5. Step 5: Solve for x
    x = 131,305,432.06/13,499.64
  6. Step 6: Final answer
    x = 9,726.59

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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.