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Finding the Fourth Proportional to 25,807.20, 38,750.40 and 14,143.20

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Solution

The fourth proportional to 25,807.20, 38,750.40 and 14,143.20 is: 21,236.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,807.20 : 38,750.40 = 14,143.20 : x
  2. Step 2: Convert to fraction form
    25,807.20/38,750.40 = 14,143.20/x
  3. Step 3: Cross multiply
    25,807.20x = 38,750.40 × 14,143.20
  4. Step 4: Simplify right side
    25,807.20x = 548,054,657.28
  5. Step 5: Solve for x
    x = 548,054,657.28/25,807.20
  6. Step 6: Final answer
    x = 21,236.50

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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.