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Finding the Fourth Proportional to 18,812.53, 25,959.75 and 10,314.50

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Solution

The fourth proportional to 18,812.53, 25,959.75 and 10,314.50 is: 14,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,812.53 : 25,959.75 = 10,314.50 : x
  2. Step 2: Convert to fraction form
    18,812.53/25,959.75 = 10,314.50/x
  3. Step 3: Cross multiply
    18,812.53x = 25,959.75 × 10,314.50
  4. Step 4: Simplify right side
    18,812.53x = 267,761,841.38
  5. Step 5: Solve for x
    x = 267,761,841.38/18,812.53
  6. Step 6: Final answer
    x = 14,233.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.