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Finding the Fourth Proportional to 18,790, 25,924.34 and 10,831.14

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Solution

The fourth proportional to 18,790, 25,924.34 and 10,831.14 is: 14,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,790 : 25,924.34 = 10,831.14 : x
  2. Step 2: Convert to fraction form
    18,790/25,924.34 = 10,831.14/x
  3. Step 3: Cross multiply
    18,790x = 25,924.34 × 10,831.14
  4. Step 4: Simplify right side
    18,790x = 280,790,155.95
  5. Step 5: Solve for x
    x = 280,790,155.95/18,790
  6. Step 6: Final answer
    x = 14,943.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.