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Finding the Fourth Proportional to 13,609.67, 20,403.50 and 5,823.95

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Solution

The fourth proportional to 13,609.67, 20,403.50 and 5,823.95 is: 8,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,609.67 : 20,403.50 = 5,823.95 : x
  2. Step 2: Convert to fraction form
    13,609.67/20,403.50 = 5,823.95/x
  3. Step 3: Cross multiply
    13,609.67x = 20,403.50 × 5,823.95
  4. Step 4: Simplify right side
    13,609.67x = 118,828,947.46
  5. Step 5: Solve for x
    x = 118,828,947.46/13,609.67
  6. Step 6: Final answer
    x = 8,731.21

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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.