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Finding the Fourth Proportional to 25,363.46, 38,047.02 and 7,831.02

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Solution

The fourth proportional to 25,363.46, 38,047.02 and 7,831.02 is: 11,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,363.46 : 38,047.02 = 7,831.02 : x
  2. Step 2: Convert to fraction form
    25,363.46/38,047.02 = 7,831.02/x
  3. Step 3: Cross multiply
    25,363.46x = 38,047.02 × 7,831.02
  4. Step 4: Simplify right side
    25,363.46x = 297,946,974.56
  5. Step 5: Solve for x
    x = 297,946,974.56/25,363.46
  6. Step 6: Final answer
    x = 11,747.10

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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.