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Finding the Fourth Proportional to 15,933.27, 23,881.88 and 8,023.22

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Solution

The fourth proportional to 15,933.27, 23,881.88 and 8,023.22 is: 12,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,933.27 : 23,881.88 = 8,023.22 : x
  2. Step 2: Convert to fraction form
    15,933.27/23,881.88 = 8,023.22/x
  3. Step 3: Cross multiply
    15,933.27x = 23,881.88 × 8,023.22
  4. Step 4: Simplify right side
    15,933.27x = 191,609,417.73
  5. Step 5: Solve for x
    x = 191,609,417.73/15,933.27
  6. Step 6: Final answer
    x = 12,025.74

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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.