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Finding the Fourth Proportional to 25,803.20, 38,744.40 and 14,139.20

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Solution

The fourth proportional to 25,803.20, 38,744.40 and 14,139.20 is: 21,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,803.20 : 38,744.40 = 14,139.20 : x
  2. Step 2: Convert to fraction form
    25,803.20/38,744.40 = 14,139.20/x
  3. Step 3: Cross multiply
    25,803.20x = 38,744.40 × 14,139.20
  4. Step 4: Simplify right side
    25,803.20x = 547,814,820.48
  5. Step 5: Solve for x
    x = 547,814,820.48/25,803.20
  6. Step 6: Final answer
    x = 21,230.50

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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.