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Finding the Fourth Proportional to 12,616.29, 17,410.49 and 7,314.18

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Solution

The fourth proportional to 12,616.29, 17,410.49 and 7,314.18 is: 10,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.29 : 17,410.49 = 7,314.18 : x
  2. Step 2: Convert to fraction form
    12,616.29/17,410.49 = 7,314.18/x
  3. Step 3: Cross multiply
    12,616.29x = 17,410.49 × 7,314.18
  4. Step 4: Simplify right side
    12,616.29x = 127,343,421.18
  5. Step 5: Solve for x
    x = 127,343,421.18/12,616.29
  6. Step 6: Final answer
    x = 10,093.57

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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.