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Finding the Fourth Proportional to 16,264.96, 22,445.35 and 9,191.23

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Solution

The fourth proportional to 16,264.96, 22,445.35 and 9,191.23 is: 12,683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,264.96 : 22,445.35 = 9,191.23 : x
  2. Step 2: Convert to fraction form
    16,264.96/22,445.35 = 9,191.23/x
  3. Step 3: Cross multiply
    16,264.96x = 22,445.35 × 9,191.23
  4. Step 4: Simplify right side
    16,264.96x = 206,300,374.28
  5. Step 5: Solve for x
    x = 206,300,374.28/16,264.96
  6. Step 6: Final answer
    x = 12,683.73

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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.