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Finding the Fourth Proportional to 14,132.92, 19,504.08 and 7,844.92

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Solution

The fourth proportional to 14,132.92, 19,504.08 and 7,844.92 is: 10,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.92 : 19,504.08 = 7,844.92 : x
  2. Step 2: Convert to fraction form
    14,132.92/19,504.08 = 7,844.92/x
  3. Step 3: Cross multiply
    14,132.92x = 19,504.08 × 7,844.92
  4. Step 4: Simplify right side
    14,132.92x = 153,007,947.27
  5. Step 5: Solve for x
    x = 153,007,947.27/14,132.92
  6. Step 6: Final answer
    x = 10,826.35

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1.5x scale

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.