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Finding the Fourth Proportional to 16,552.75, 22,842.80 and 9,100.75

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Solution

The fourth proportional to 16,552.75, 22,842.80 and 9,100.75 is: 12,559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552.75 : 22,842.80 = 9,100.75 : x
  2. Step 2: Convert to fraction form
    16,552.75/22,842.80 = 9,100.75/x
  3. Step 3: Cross multiply
    16,552.75x = 22,842.80 × 9,100.75
  4. Step 4: Simplify right side
    16,552.75x = 207,886,612.10
  5. Step 5: Solve for x
    x = 207,886,612.10/16,552.75
  6. Step 6: Final answer
    x = 12,559.04

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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.