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Finding the Fourth Proportional to 22,762.46, 31,414.25 and 13,812.22

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Solution

The fourth proportional to 22,762.46, 31,414.25 and 13,812.22 is: 19,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.46 : 31,414.25 = 13,812.22 : x
  2. Step 2: Convert to fraction form
    22,762.46/31,414.25 = 13,812.22/x
  3. Step 3: Cross multiply
    22,762.46x = 31,414.25 × 13,812.22
  4. Step 4: Simplify right side
    22,762.46x = 433,900,532.14
  5. Step 5: Solve for x
    x = 433,900,532.14/22,762.46
  6. Step 6: Final answer
    x = 19,062.11

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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.