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Finding the Fourth Proportional to 10,738.90, 16,101.78 and 9,822.16

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Solution

The fourth proportional to 10,738.90, 16,101.78 and 9,822.16 is: 14,727.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.90 : 16,101.78 = 9,822.16 : x
  2. Step 2: Convert to fraction form
    10,738.90/16,101.78 = 9,822.16/x
  3. Step 3: Cross multiply
    10,738.90x = 16,101.78 × 9,822.16
  4. Step 4: Simplify right side
    10,738.90x = 158,154,259.44
  5. Step 5: Solve for x
    x = 158,154,259.44/10,738.90
  6. Step 6: Final answer
    x = 14,727.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.