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Finding the Fourth Proportional to 12,401.71, 17,114.66 and 7,098.23

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Solution

The fourth proportional to 12,401.71, 17,114.66 and 7,098.23 is: 9,795.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401.71 : 17,114.66 = 7,098.23 : x
  2. Step 2: Convert to fraction form
    12,401.71/17,114.66 = 7,098.23/x
  3. Step 3: Cross multiply
    12,401.71x = 17,114.66 × 7,098.23
  4. Step 4: Simplify right side
    12,401.71x = 121,483,826.97
  5. Step 5: Solve for x
    x = 121,483,826.97/12,401.71
  6. Step 6: Final answer
    x = 9,795.73

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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.