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Finding the Fourth Proportional to 13,207.80, 19,820.29 and 5,718.67

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Solution

The fourth proportional to 13,207.80, 19,820.29 and 5,718.67 is: 8,581.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,207.80 : 19,820.29 = 5,718.67 : x
  2. Step 2: Convert to fraction form
    13,207.80/19,820.29 = 5,718.67/x
  3. Step 3: Cross multiply
    13,207.80x = 19,820.29 × 5,718.67
  4. Step 4: Simplify right side
    13,207.80x = 113,345,781.15
  5. Step 5: Solve for x
    x = 113,345,781.15/13,207.80
  6. Step 6: Final answer
    x = 8,581.73

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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.