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Finding the Fourth Proportional to 14,972.38, 20,661.43 and 8,258

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Solution

The fourth proportional to 14,972.38, 20,661.43 and 8,258 is: 11,395.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,972.38 : 20,661.43 = 8,258 : x
  2. Step 2: Convert to fraction form
    14,972.38/20,661.43 = 8,258/x
  3. Step 3: Cross multiply
    14,972.38x = 20,661.43 × 8,258
  4. Step 4: Simplify right side
    14,972.38x = 170,622,047.65
  5. Step 5: Solve for x
    x = 170,622,047.65/14,972.38
  6. Step 6: Final answer
    x = 11,395.79

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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.