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Finding the Fourth Proportional to 22,827.68, 34,244.76 and 7,034.00

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Solution

The fourth proportional to 22,827.68, 34,244.76 and 7,034.00 is: 10,551.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,827.68 : 34,244.76 = 7,034.00 : x
  2. Step 2: Convert to fraction form
    22,827.68/34,244.76 = 7,034.00/x
  3. Step 3: Cross multiply
    22,827.68x = 34,244.76 × 7,034.00
  4. Step 4: Simplify right side
    22,827.68x = 240,877,470.62
  5. Step 5: Solve for x
    x = 240,877,470.62/22,827.68
  6. Step 6: Final answer
    x = 10,551.99

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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.