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Finding the Fourth Proportional to 13,498.80, 20,249.67 and 5,185.86

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Solution

The fourth proportional to 13,498.80, 20,249.67 and 5,185.86 is: 7,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.80 : 20,249.67 = 5,185.86 : x
  2. Step 2: Convert to fraction form
    13,498.80/20,249.67 = 5,185.86/x
  3. Step 3: Cross multiply
    13,498.80x = 20,249.67 × 5,185.86
  4. Step 4: Simplify right side
    13,498.80x = 105,011,953.67
  5. Step 5: Solve for x
    x = 105,011,953.67/13,498.80
  6. Step 6: Final answer
    x = 7,779.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.