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Finding the Fourth Proportional to 22,952.52, 34,426.04 and 6,314.24

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Solution

The fourth proportional to 22,952.52, 34,426.04 and 6,314.24 is: 9,470.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,952.52 : 34,426.04 = 6,314.24 : x
  2. Step 2: Convert to fraction form
    22,952.52/34,426.04 = 6,314.24/x
  3. Step 3: Cross multiply
    22,952.52x = 34,426.04 × 6,314.24
  4. Step 4: Simplify right side
    22,952.52x = 217,374,075.11
  5. Step 5: Solve for x
    x = 217,374,075.11/22,952.52
  6. Step 6: Final answer
    x = 9,470.60

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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.