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Finding the Fourth Proportional to 22,681.25, 34,025.52 and 7,894.37

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Solution

The fourth proportional to 22,681.25, 34,025.52 and 7,894.37 is: 11,842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,681.25 : 34,025.52 = 7,894.37 : x
  2. Step 2: Convert to fraction form
    22,681.25/34,025.52 = 7,894.37/x
  3. Step 3: Cross multiply
    22,681.25x = 34,025.52 × 7,894.37
  4. Step 4: Simplify right side
    22,681.25x = 268,609,874.19
  5. Step 5: Solve for x
    x = 268,609,874.19/22,681.25
  6. Step 6: Final answer
    x = 11,842.82

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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.