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Finding the Fourth Proportional to 16,232.56, 22,402.66 and 9,523.84

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Solution

The fourth proportional to 16,232.56, 22,402.66 and 9,523.84 is: 13,143.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.56 : 22,402.66 = 9,523.84 : x
  2. Step 2: Convert to fraction form
    16,232.56/22,402.66 = 9,523.84/x
  3. Step 3: Cross multiply
    16,232.56x = 22,402.66 × 9,523.84
  4. Step 4: Simplify right side
    16,232.56x = 213,359,325.60
  5. Step 5: Solve for x
    x = 213,359,325.60/16,232.56
  6. Step 6: Final answer
    x = 13,143.91

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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.