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Finding the Fourth Proportional to 22,657.38, 33,975.08 and 9,506.22

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Solution

The fourth proportional to 22,657.38, 33,975.08 and 9,506.22 is: 14,254.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.38 : 33,975.08 = 9,506.22 : x
  2. Step 2: Convert to fraction form
    22,657.38/33,975.08 = 9,506.22/x
  3. Step 3: Cross multiply
    22,657.38x = 33,975.08 × 9,506.22
  4. Step 4: Simplify right side
    22,657.38x = 322,974,585.00
  5. Step 5: Solve for x
    x = 322,974,585.00/22,657.38
  6. Step 6: Final answer
    x = 14,254.72

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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.