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Finding the Fourth Proportional to 13,535.29, 20,309 and 8,603.65

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Solution

The fourth proportional to 13,535.29, 20,309 and 8,603.65 is: 12,909.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,535.29 : 20,309 = 8,603.65 : x
  2. Step 2: Convert to fraction form
    13,535.29/20,309 = 8,603.65/x
  3. Step 3: Cross multiply
    13,535.29x = 20,309 × 8,603.65
  4. Step 4: Simplify right side
    13,535.29x = 174,731,527.85
  5. Step 5: Solve for x
    x = 174,731,527.85/13,535.29
  6. Step 6: Final answer
    x = 12,909.33

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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.