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Finding the Fourth Proportional to 18,041.25, 24,897.38 and 10,084.80

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Solution

The fourth proportional to 18,041.25, 24,897.38 and 10,084.80 is: 13,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,041.25 : 24,897.38 = 10,084.80 : x
  2. Step 2: Convert to fraction form
    18,041.25/24,897.38 = 10,084.80/x
  3. Step 3: Cross multiply
    18,041.25x = 24,897.38 × 10,084.80
  4. Step 4: Simplify right side
    18,041.25x = 251,085,047.40
  5. Step 5: Solve for x
    x = 251,085,047.40/18,041.25
  6. Step 6: Final answer
    x = 13,917.28

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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.