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Finding the Fourth Proportional to 16,552.51, 22,847.32 and 9,842.87

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Solution

The fourth proportional to 16,552.51, 22,847.32 and 9,842.87 is: 13,586.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552.51 : 22,847.32 = 9,842.87 : x
  2. Step 2: Convert to fraction form
    16,552.51/22,847.32 = 9,842.87/x
  3. Step 3: Cross multiply
    16,552.51x = 22,847.32 × 9,842.87
  4. Step 4: Simplify right side
    16,552.51x = 224,883,086.15
  5. Step 5: Solve for x
    x = 224,883,086.15/16,552.51
  6. Step 6: Final answer
    x = 13,586.04

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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.