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Finding the Fourth Proportional to 25,777.36, 38,675.28 and 15,905.20

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Solution

The fourth proportional to 25,777.36, 38,675.28 and 15,905.20 is: 23,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777.36 : 38,675.28 = 15,905.20 : x
  2. Step 2: Convert to fraction form
    25,777.36/38,675.28 = 15,905.20/x
  3. Step 3: Cross multiply
    25,777.36x = 38,675.28 × 15,905.20
  4. Step 4: Simplify right side
    25,777.36x = 615,138,063.46
  5. Step 5: Solve for x
    x = 615,138,063.46/25,777.36
  6. Step 6: Final answer
    x = 23,863.50

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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.