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Finding the Fourth Proportional to 16,402.95, 24,615.29 and 9,012.56

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Solution

The fourth proportional to 16,402.95, 24,615.29 and 9,012.56 is: 13,524.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.95 : 24,615.29 = 9,012.56 : x
  2. Step 2: Convert to fraction form
    16,402.95/24,615.29 = 9,012.56/x
  3. Step 3: Cross multiply
    16,402.95x = 24,615.29 × 9,012.56
  4. Step 4: Simplify right side
    16,402.95x = 221,846,794.52
  5. Step 5: Solve for x
    x = 221,846,794.52/16,402.95
  6. Step 6: Final answer
    x = 13,524.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.