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Finding the Fourth Proportional to 22,152.04, 33,199.34 and 8,989

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Solution

The fourth proportional to 22,152.04, 33,199.34 and 8,989 is: 13,471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,152.04 : 33,199.34 = 8,989 : x
  2. Step 2: Convert to fraction form
    22,152.04/33,199.34 = 8,989/x
  3. Step 3: Cross multiply
    22,152.04x = 33,199.34 × 8,989
  4. Step 4: Simplify right side
    22,152.04x = 298,428,867.26
  5. Step 5: Solve for x
    x = 298,428,867.26/22,152.04
  6. Step 6: Final answer
    x = 13,471.85

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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.