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Finding the Fourth Proportional to 12,138.24, 16,746.88 and 7,169.28

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Solution

The fourth proportional to 12,138.24, 16,746.88 and 7,169.28 is: 9,891.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.24 : 16,746.88 = 7,169.28 : x
  2. Step 2: Convert to fraction form
    12,138.24/16,746.88 = 7,169.28/x
  3. Step 3: Cross multiply
    12,138.24x = 16,746.88 × 7,169.28
  4. Step 4: Simplify right side
    12,138.24x = 120,063,071.85
  5. Step 5: Solve for x
    x = 120,063,071.85/12,138.24
  6. Step 6: Final answer
    x = 9,891.31

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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.