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Finding the Fourth Proportional to 12,614.06, 17,407.39 and 7,311.95

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Solution

The fourth proportional to 12,614.06, 17,407.39 and 7,311.95 is: 10,090.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.06 : 17,407.39 = 7,311.95 : x
  2. Step 2: Convert to fraction form
    12,614.06/17,407.39 = 7,311.95/x
  3. Step 3: Cross multiply
    12,614.06x = 17,407.39 × 7,311.95
  4. Step 4: Simplify right side
    12,614.06x = 127,281,841.71
  5. Step 5: Solve for x
    x = 127,281,841.71/12,614.06
  6. Step 6: Final answer
    x = 10,090.48

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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.