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Finding the Fourth Proportional to 12,296.26, 16,962.18 and 10,159.15

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Solution

The fourth proportional to 12,296.26, 16,962.18 and 10,159.15 is: 14,014.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296.26 : 16,962.18 = 10,159.15 : x
  2. Step 2: Convert to fraction form
    12,296.26/16,962.18 = 10,159.15/x
  3. Step 3: Cross multiply
    12,296.26x = 16,962.18 × 10,159.15
  4. Step 4: Simplify right side
    12,296.26x = 172,321,330.95
  5. Step 5: Solve for x
    x = 172,321,330.95/12,296.26
  6. Step 6: Final answer
    x = 14,014.13

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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.