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Finding the Fourth Proportional to 25,643.60, 38,470.80 and 10,844.90

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Solution

The fourth proportional to 25,643.60, 38,470.80 and 10,844.90 is: 16,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,643.60 : 38,470.80 = 10,844.90 : x
  2. Step 2: Convert to fraction form
    25,643.60/38,470.80 = 10,844.90/x
  3. Step 3: Cross multiply
    25,643.60x = 38,470.80 × 10,844.90
  4. Step 4: Simplify right side
    25,643.60x = 417,211,978.92
  5. Step 5: Solve for x
    x = 417,211,978.92/25,643.60
  6. Step 6: Final answer
    x = 16,269.63

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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.