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Finding the Fourth Proportional to 17,778.80, 24,536.04 and 10,709.12

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Solution

The fourth proportional to 17,778.80, 24,536.04 and 10,709.12 is: 14,779.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.80 : 24,536.04 = 10,709.12 : x
  2. Step 2: Convert to fraction form
    17,778.80/24,536.04 = 10,709.12/x
  3. Step 3: Cross multiply
    17,778.80x = 24,536.04 × 10,709.12
  4. Step 4: Simplify right side
    17,778.80x = 262,759,396.68
  5. Step 5: Solve for x
    x = 262,759,396.68/17,778.80
  6. Step 6: Final answer
    x = 14,779.37

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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.