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Finding the Fourth Proportional to 12,779.28, 17,642.16 and 8,244.72

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Solution

The fourth proportional to 12,779.28, 17,642.16 and 8,244.72 is: 11,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.28 : 17,642.16 = 8,244.72 : x
  2. Step 2: Convert to fraction form
    12,779.28/17,642.16 = 8,244.72/x
  3. Step 3: Cross multiply
    12,779.28x = 17,642.16 × 8,244.72
  4. Step 4: Simplify right side
    12,779.28x = 145,454,669.40
  5. Step 5: Solve for x
    x = 145,454,669.40/12,779.28
  6. Step 6: Final answer
    x = 11,382.07

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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.