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Finding the Fourth Proportional to 16,233.80, 24,369.90 and 9,219.40

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Solution

The fourth proportional to 16,233.80, 24,369.90 and 9,219.40 is: 13,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.80 : 24,369.90 = 9,219.40 : x
  2. Step 2: Convert to fraction form
    16,233.80/24,369.90 = 9,219.40/x
  3. Step 3: Cross multiply
    16,233.80x = 24,369.90 × 9,219.40
  4. Step 4: Simplify right side
    16,233.80x = 224,675,856.06
  5. Step 5: Solve for x
    x = 224,675,856.06/16,233.80
  6. Step 6: Final answer
    x = 13,840.00

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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.