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Finding the Fourth Proportional to 16,434.12, 24,655.07 and 5,340.81

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Solution

The fourth proportional to 16,434.12, 24,655.07 and 5,340.81 is: 8,012.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,434.12 : 24,655.07 = 5,340.81 : x
  2. Step 2: Convert to fraction form
    16,434.12/24,655.07 = 5,340.81/x
  3. Step 3: Cross multiply
    16,434.12x = 24,655.07 × 5,340.81
  4. Step 4: Simplify right side
    16,434.12x = 131,677,894.43
  5. Step 5: Solve for x
    x = 131,677,894.43/16,434.12
  6. Step 6: Final answer
    x = 8,012.47

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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.