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Finding the Fourth Proportional to 13,170.66, 19,763.76 and 4,856.46

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Solution

The fourth proportional to 13,170.66, 19,763.76 and 4,856.46 is: 7,287.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,170.66 : 19,763.76 = 4,856.46 : x
  2. Step 2: Convert to fraction form
    13,170.66/19,763.76 = 4,856.46/x
  3. Step 3: Cross multiply
    13,170.66x = 19,763.76 × 4,856.46
  4. Step 4: Simplify right side
    13,170.66x = 95,981,909.89
  5. Step 5: Solve for x
    x = 95,981,909.89/13,170.66
  6. Step 6: Final answer
    x = 7,287.56

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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.