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Finding the Fourth Proportional to 18,642.60, 25,726.32 and 10,144.62

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Solution

The fourth proportional to 18,642.60, 25,726.32 and 10,144.62 is: 13,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.60 : 25,726.32 = 10,144.62 : x
  2. Step 2: Convert to fraction form
    18,642.60/25,726.32 = 10,144.62/x
  3. Step 3: Cross multiply
    18,642.60x = 25,726.32 × 10,144.62
  4. Step 4: Simplify right side
    18,642.60x = 260,983,740.40
  5. Step 5: Solve for x
    x = 260,983,740.40/18,642.60
  6. Step 6: Final answer
    x = 13,999.32

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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.