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Finding the Fourth Proportional to 16,149.40, 22,284.16 and 9,344.59

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Solution

The fourth proportional to 16,149.40, 22,284.16 and 9,344.59 is: 12,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.40 : 22,284.16 = 9,344.59 : x
  2. Step 2: Convert to fraction form
    16,149.40/22,284.16 = 9,344.59/x
  3. Step 3: Cross multiply
    16,149.40x = 22,284.16 × 9,344.59
  4. Step 4: Simplify right side
    16,149.40x = 208,236,238.95
  5. Step 5: Solve for x
    x = 208,236,238.95/16,149.40
  6. Step 6: Final answer
    x = 12,894.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.