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Finding the Fourth Proportional to 25,323.34, 34,955.92 and 22,666

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Solution

The fourth proportional to 25,323.34, 34,955.92 and 22,666 is: 31,287.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,323.34 : 34,955.92 = 22,666 : x
  2. Step 2: Convert to fraction form
    25,323.34/34,955.92 = 22,666/x
  3. Step 3: Cross multiply
    25,323.34x = 34,955.92 × 22,666
  4. Step 4: Simplify right side
    25,323.34x = 792,310,882.72
  5. Step 5: Solve for x
    x = 792,310,882.72/25,323.34
  6. Step 6: Final answer
    x = 31,287.77

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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.