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Finding the Fourth Proportional to 15,613.32, 23,429.22 and 5,759.46

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Solution

The fourth proportional to 15,613.32, 23,429.22 and 5,759.46 is: 8,642.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,613.32 : 23,429.22 = 5,759.46 : x
  2. Step 2: Convert to fraction form
    15,613.32/23,429.22 = 5,759.46/x
  3. Step 3: Cross multiply
    15,613.32x = 23,429.22 × 5,759.46
  4. Step 4: Simplify right side
    15,613.32x = 134,939,655.42
  5. Step 5: Solve for x
    x = 134,939,655.42/15,613.32
  6. Step 6: Final answer
    x = 8,642.60

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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.