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Finding the Fourth Proportional to 12,488.68, 17,194.98 and 10,138.60

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Solution

The fourth proportional to 12,488.68, 17,194.98 and 10,138.60 is: 13,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,488.68 : 17,194.98 = 10,138.60 : x
  2. Step 2: Convert to fraction form
    12,488.68/17,194.98 = 10,138.60/x
  3. Step 3: Cross multiply
    12,488.68x = 17,194.98 × 10,138.60
  4. Step 4: Simplify right side
    12,488.68x = 174,333,024.23
  5. Step 5: Solve for x
    x = 174,333,024.23/12,488.68
  6. Step 6: Final answer
    x = 13,959.28

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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.