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Finding the Fourth Proportional to 25,605.46, 38,407.80 and 15,613.15

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Solution

The fourth proportional to 25,605.46, 38,407.80 and 15,613.15 is: 23,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,605.46 : 38,407.80 = 15,613.15 : x
  2. Step 2: Convert to fraction form
    25,605.46/38,407.80 = 15,613.15/x
  3. Step 3: Cross multiply
    25,605.46x = 38,407.80 × 15,613.15
  4. Step 4: Simplify right side
    25,605.46x = 599,666,742.57
  5. Step 5: Solve for x
    x = 599,666,742.57/25,605.46
  6. Step 6: Final answer
    x = 23,419.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.