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Finding the Fourth Proportional to 12,750.38, 17,585.79 and 9,225.26

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Solution

The fourth proportional to 12,750.38, 17,585.79 and 9,225.26 is: 12,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750.38 : 17,585.79 = 9,225.26 : x
  2. Step 2: Convert to fraction form
    12,750.38/17,585.79 = 9,225.26/x
  3. Step 3: Cross multiply
    12,750.38x = 17,585.79 × 9,225.26
  4. Step 4: Simplify right side
    12,750.38x = 162,233,485.06
  5. Step 5: Solve for x
    x = 162,233,485.06/12,750.38
  6. Step 6: Final answer
    x = 12,723.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.