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Finding the Fourth Proportional to 17,779.72, 24,536 and 9,821.92

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Solution

The fourth proportional to 17,779.72, 24,536 and 9,821.92 is: 13,554.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.72 : 24,536 = 9,821.92 : x
  2. Step 2: Convert to fraction form
    17,779.72/24,536 = 9,821.92/x
  3. Step 3: Cross multiply
    17,779.72x = 24,536 × 9,821.92
  4. Step 4: Simplify right side
    17,779.72x = 240,990,629.12
  5. Step 5: Solve for x
    x = 240,990,629.12/17,779.72
  6. Step 6: Final answer
    x = 13,554.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.