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Finding the Fourth Proportional to 17,779.38, 24,535.08 and 9,820.32

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Solution

The fourth proportional to 17,779.38, 24,535.08 and 9,820.32 is: 13,551.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.38 : 24,535.08 = 9,820.32 : x
  2. Step 2: Convert to fraction form
    17,779.38/24,535.08 = 9,820.32/x
  3. Step 3: Cross multiply
    17,779.38x = 24,535.08 × 9,820.32
  4. Step 4: Simplify right side
    17,779.38x = 240,942,336.83
  5. Step 5: Solve for x
    x = 240,942,336.83/17,779.38
  6. Step 6: Final answer
    x = 13,551.79

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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.