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Finding the Fourth Proportional to 16,232.76, 22,399.68 and 9,062.40

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Solution

The fourth proportional to 16,232.76, 22,399.68 and 9,062.40 is: 12,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.76 : 22,399.68 = 9,062.40 : x
  2. Step 2: Convert to fraction form
    16,232.76/22,399.68 = 9,062.40/x
  3. Step 3: Cross multiply
    16,232.76x = 22,399.68 × 9,062.40
  4. Step 4: Simplify right side
    16,232.76x = 202,994,860.03
  5. Step 5: Solve for x
    x = 202,994,860.03/16,232.76
  6. Step 6: Final answer
    x = 12,505.26

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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.