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Finding the Fourth Proportional to 14,884.67, 20,541.57 and 8,170.23

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Solution

The fourth proportional to 14,884.67, 20,541.57 and 8,170.23 is: 11,275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.67 : 20,541.57 = 8,170.23 : x
  2. Step 2: Convert to fraction form
    14,884.67/20,541.57 = 8,170.23/x
  3. Step 3: Cross multiply
    14,884.67x = 20,541.57 × 8,170.23
  4. Step 4: Simplify right side
    14,884.67x = 167,829,351.46
  5. Step 5: Solve for x
    x = 167,829,351.46/14,884.67
  6. Step 6: Final answer
    x = 11,275.32

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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.