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Finding the Fourth Proportional to 25,613.40, 38,427.30 and 10,829.40

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Solution

The fourth proportional to 25,613.40, 38,427.30 and 10,829.40 is: 16,247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,613.40 : 38,427.30 = 10,829.40 : x
  2. Step 2: Convert to fraction form
    25,613.40/38,427.30 = 10,829.40/x
  3. Step 3: Cross multiply
    25,613.40x = 38,427.30 × 10,829.40
  4. Step 4: Simplify right side
    25,613.40x = 416,144,602.62
  5. Step 5: Solve for x
    x = 416,144,602.62/25,613.40
  6. Step 6: Final answer
    x = 16,247.14

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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.