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Finding the Fourth Proportional to 18,441, 25,448.76 and 10,057.68

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Solution

The fourth proportional to 18,441, 25,448.76 and 10,057.68 is: 13,879.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,441 : 25,448.76 = 10,057.68 : x
  2. Step 2: Convert to fraction form
    18,441/25,448.76 = 10,057.68/x
  3. Step 3: Cross multiply
    18,441x = 25,448.76 × 10,057.68
  4. Step 4: Simplify right side
    18,441x = 255,955,484.48
  5. Step 5: Solve for x
    x = 255,955,484.48/18,441
  6. Step 6: Final answer
    x = 13,879.70

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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.