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Finding the Fourth Proportional to 17,779.85, 24,535.84 and 9,822

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Solution

The fourth proportional to 17,779.85, 24,535.84 and 9,822 is: 13,554.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.85 : 24,535.84 = 9,822 : x
  2. Step 2: Convert to fraction form
    17,779.85/24,535.84 = 9,822/x
  3. Step 3: Cross multiply
    17,779.85x = 24,535.84 × 9,822
  4. Step 4: Simplify right side
    17,779.85x = 240,991,020.48
  5. Step 5: Solve for x
    x = 240,991,020.48/17,779.85
  6. Step 6: Final answer
    x = 13,554.16

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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.