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Finding the Fourth Proportional to 14,615.68, 20,162.80 and 9,578.56

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Solution

The fourth proportional to 14,615.68, 20,162.80 and 9,578.56 is: 13,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615.68 : 20,162.80 = 9,578.56 : x
  2. Step 2: Convert to fraction form
    14,615.68/20,162.80 = 9,578.56/x
  3. Step 3: Cross multiply
    14,615.68x = 20,162.80 × 9,578.56
  4. Step 4: Simplify right side
    14,615.68x = 193,130,589.57
  5. Step 5: Solve for x
    x = 193,130,589.57/14,615.68
  6. Step 6: Final answer
    x = 13,213.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.