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Finding the Fourth Proportional to 16,139.07, 24,214.01 and 8,238.15

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Solution

The fourth proportional to 16,139.07, 24,214.01 and 8,238.15 is: 12,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,139.07 : 24,214.01 = 8,238.15 : x
  2. Step 2: Convert to fraction form
    16,139.07/24,214.01 = 8,238.15/x
  3. Step 3: Cross multiply
    16,139.07x = 24,214.01 × 8,238.15
  4. Step 4: Simplify right side
    16,139.07x = 199,478,605.29
  5. Step 5: Solve for x
    x = 199,478,605.29/16,139.07
  6. Step 6: Final answer
    x = 12,359.98

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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.