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Finding the Fourth Proportional to 25,292.13, 37,938.19 and 6,824.13

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Solution

The fourth proportional to 25,292.13, 37,938.19 and 6,824.13 is: 10,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,292.13 : 37,938.19 = 6,824.13 : x
  2. Step 2: Convert to fraction form
    25,292.13/37,938.19 = 6,824.13/x
  3. Step 3: Cross multiply
    25,292.13x = 37,938.19 × 6,824.13
  4. Step 4: Simplify right side
    25,292.13x = 258,895,140.52
  5. Step 5: Solve for x
    x = 258,895,140.52/25,292.13
  6. Step 6: Final answer
    x = 10,236.19

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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.