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Finding the Fourth Proportional to 15,613.84, 23,417.94 and 4,517.80

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Solution

The fourth proportional to 15,613.84, 23,417.94 and 4,517.80 is: 6,775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,613.84 : 23,417.94 = 4,517.80 : x
  2. Step 2: Convert to fraction form
    15,613.84/23,417.94 = 4,517.80/x
  3. Step 3: Cross multiply
    15,613.84x = 23,417.94 × 4,517.80
  4. Step 4: Simplify right side
    15,613.84x = 105,797,569.33
  5. Step 5: Solve for x
    x = 105,797,569.33/15,613.84
  6. Step 6: Final answer
    x = 6,775.88

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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.