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Finding the Fourth Proportional to 14,968.85, 20,657.16 and 8,254.31

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Solution

The fourth proportional to 14,968.85, 20,657.16 and 8,254.31 is: 11,391.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,968.85 : 20,657.16 = 8,254.31 : x
  2. Step 2: Convert to fraction form
    14,968.85/20,657.16 = 8,254.31/x
  3. Step 3: Cross multiply
    14,968.85x = 20,657.16 × 8,254.31
  4. Step 4: Simplify right side
    14,968.85x = 170,510,499.07
  5. Step 5: Solve for x
    x = 170,510,499.07/14,968.85
  6. Step 6: Final answer
    x = 11,391.02

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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.