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Finding the Fourth Proportional to 25,344.40, 38,020.20 and 7,812.40

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Solution

The fourth proportional to 25,344.40, 38,020.20 and 7,812.40 is: 11,719.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,344.40 : 38,020.20 = 7,812.40 : x
  2. Step 2: Convert to fraction form
    25,344.40/38,020.20 = 7,812.40/x
  3. Step 3: Cross multiply
    25,344.40x = 38,020.20 × 7,812.40
  4. Step 4: Simplify right side
    25,344.40x = 297,029,010.48
  5. Step 5: Solve for x
    x = 297,029,010.48/25,344.40
  6. Step 6: Final answer
    x = 11,719.71

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1.5x scale

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.