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Finding the Fourth Proportional to 22,507.65, 33,732.25 and 9,165.08

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Solution

The fourth proportional to 22,507.65, 33,732.25 and 9,165.08 is: 13,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,507.65 : 33,732.25 = 9,165.08 : x
  2. Step 2: Convert to fraction form
    22,507.65/33,732.25 = 9,165.08/x
  3. Step 3: Cross multiply
    22,507.65x = 33,732.25 × 9,165.08
  4. Step 4: Simplify right side
    22,507.65x = 309,158,831.25
  5. Step 5: Solve for x
    x = 309,158,831.25/22,507.65
  6. Step 6: Final answer
    x = 13,735.72

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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.