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Finding the Fourth Proportional to 12,172.17, 18,265.40 and 5,151.75

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Solution

The fourth proportional to 12,172.17, 18,265.40 and 5,151.75 is: 7,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.17 : 18,265.40 = 5,151.75 : x
  2. Step 2: Convert to fraction form
    12,172.17/18,265.40 = 5,151.75/x
  3. Step 3: Cross multiply
    12,172.17x = 18,265.40 × 5,151.75
  4. Step 4: Simplify right side
    12,172.17x = 94,098,802.26
  5. Step 5: Solve for x
    x = 94,098,802.26/12,172.17
  6. Step 6: Final answer
    x = 7,730.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.