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Finding the Fourth Proportional to 16,447.40, 24,658.95 and 8,538.56

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Solution

The fourth proportional to 16,447.40, 24,658.95 and 8,538.56 is: 12,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.40 : 24,658.95 = 8,538.56 : x
  2. Step 2: Convert to fraction form
    16,447.40/24,658.95 = 8,538.56/x
  3. Step 3: Cross multiply
    16,447.40x = 24,658.95 × 8,538.56
  4. Step 4: Simplify right side
    16,447.40x = 210,551,924.11
  5. Step 5: Solve for x
    x = 210,551,924.11/16,447.40
  6. Step 6: Final answer
    x = 12,801.53

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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.