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Finding the Fourth Proportional to 14,969.10, 20,657.52 and 8,254.74

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Solution

The fourth proportional to 14,969.10, 20,657.52 and 8,254.74 is: 11,391.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.10 : 20,657.52 = 8,254.74 : x
  2. Step 2: Convert to fraction form
    14,969.10/20,657.52 = 8,254.74/x
  3. Step 3: Cross multiply
    14,969.10x = 20,657.52 × 8,254.74
  4. Step 4: Simplify right side
    14,969.10x = 170,522,456.64
  5. Step 5: Solve for x
    x = 170,522,456.64/14,969.10
  6. Step 6: Final answer
    x = 11,391.63

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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.