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Finding the Fourth Proportional to 25,701.96, 38,465.28 and 21,546.66

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Solution

The fourth proportional to 25,701.96, 38,465.28 and 21,546.66 is: 32,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,701.96 : 38,465.28 = 21,546.66 : x
  2. Step 2: Convert to fraction form
    25,701.96/38,465.28 = 21,546.66/x
  3. Step 3: Cross multiply
    25,701.96x = 38,465.28 × 21,546.66
  4. Step 4: Simplify right side
    25,701.96x = 828,798,309.96
  5. Step 5: Solve for x
    x = 828,798,309.96/25,701.96
  6. Step 6: Final answer
    x = 32,246.50

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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.