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Finding the Fourth Proportional to 23,000.30, 34,427.55 and 16,439.30

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Solution

The fourth proportional to 23,000.30, 34,427.55 and 16,439.30 is: 24,606.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000.30 : 34,427.55 = 16,439.30 : x
  2. Step 2: Convert to fraction form
    23,000.30/34,427.55 = 16,439.30/x
  3. Step 3: Cross multiply
    23,000.30x = 34,427.55 × 16,439.30
  4. Step 4: Simplify right side
    23,000.30x = 565,964,822.72
  5. Step 5: Solve for x
    x = 565,964,822.72/23,000.30
  6. Step 6: Final answer
    x = 24,606.85

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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.