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Finding the Fourth Proportional to 12,614.22, 17,407.50 and 7,308.90

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Solution

The fourth proportional to 12,614.22, 17,407.50 and 7,308.90 is: 10,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.22 : 17,407.50 = 7,308.90 : x
  2. Step 2: Convert to fraction form
    12,614.22/17,407.50 = 7,308.90/x
  3. Step 3: Cross multiply
    12,614.22x = 17,407.50 × 7,308.90
  4. Step 4: Simplify right side
    12,614.22x = 127,229,676.75
  5. Step 5: Solve for x
    x = 127,229,676.75/12,614.22
  6. Step 6: Final answer
    x = 10,086.21

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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.