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Finding the Fourth Proportional to 15,652.13, 23,479.65 and 5,659.38

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Solution

The fourth proportional to 15,652.13, 23,479.65 and 5,659.38 is: 8,489.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,652.13 : 23,479.65 = 5,659.38 : x
  2. Step 2: Convert to fraction form
    15,652.13/23,479.65 = 5,659.38/x
  3. Step 3: Cross multiply
    15,652.13x = 23,479.65 × 5,659.38
  4. Step 4: Simplify right side
    15,652.13x = 132,880,261.62
  5. Step 5: Solve for x
    x = 132,880,261.62/15,652.13
  6. Step 6: Final answer
    x = 8,489.60

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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.