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Finding the Fourth Proportional to 13,947.54, 19,247.68 and 7,574.16

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Solution

The fourth proportional to 13,947.54, 19,247.68 and 7,574.16 is: 10,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947.54 : 19,247.68 = 7,574.16 : x
  2. Step 2: Convert to fraction form
    13,947.54/19,247.68 = 7,574.16/x
  3. Step 3: Cross multiply
    13,947.54x = 19,247.68 × 7,574.16
  4. Step 4: Simplify right side
    13,947.54x = 145,785,007.95
  5. Step 5: Solve for x
    x = 145,785,007.95/13,947.54
  6. Step 6: Final answer
    x = 10,452.38

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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.