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Finding the Fourth Proportional to 16,402.15, 24,614.16 and 12,246.85

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Solution

The fourth proportional to 16,402.15, 24,614.16 and 12,246.85 is: 18,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.15 : 24,614.16 = 12,246.85 : x
  2. Step 2: Convert to fraction form
    16,402.15/24,614.16 = 12,246.85/x
  3. Step 3: Cross multiply
    16,402.15x = 24,614.16 × 12,246.85
  4. Step 4: Simplify right side
    16,402.15x = 301,445,925.40
  5. Step 5: Solve for x
    x = 301,445,925.40/16,402.15
  6. Step 6: Final answer
    x = 18,378.44

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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.