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Finding the Fourth Proportional to 23,009.30, 34,441.05 and 16,448.30

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Solution

The fourth proportional to 23,009.30, 34,441.05 and 16,448.30 is: 24,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,009.30 : 34,441.05 = 16,448.30 : x
  2. Step 2: Convert to fraction form
    23,009.30/34,441.05 = 16,448.30/x
  3. Step 3: Cross multiply
    23,009.30x = 34,441.05 × 16,448.30
  4. Step 4: Simplify right side
    23,009.30x = 566,496,722.72
  5. Step 5: Solve for x
    x = 566,496,722.72/23,009.30
  6. Step 6: Final answer
    x = 24,620.34

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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.