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Finding the Fourth Proportional to 12,614.79, 17,408.42 and 7,312.68

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Solution

The fourth proportional to 12,614.79, 17,408.42 and 7,312.68 is: 10,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,614.79 : 17,408.42 = 7,312.68 : x
  2. Step 2: Convert to fraction form
    12,614.79/17,408.42 = 7,312.68/x
  3. Step 3: Cross multiply
    12,614.79x = 17,408.42 × 7,312.68
  4. Step 4: Simplify right side
    12,614.79x = 127,302,168.20
  5. Step 5: Solve for x
    x = 127,302,168.20/12,614.79
  6. Step 6: Final answer
    x = 10,091.50

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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.