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Finding the Fourth Proportional to 23,002.30, 34,430.55 and 16,441.30

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Solution

The fourth proportional to 23,002.30, 34,430.55 and 16,441.30 is: 24,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.30 : 34,430.55 = 16,441.30 : x
  2. Step 2: Convert to fraction form
    23,002.30/34,430.55 = 16,441.30/x
  3. Step 3: Cross multiply
    23,002.30x = 34,430.55 × 16,441.30
  4. Step 4: Simplify right side
    23,002.30x = 566,083,001.72
  5. Step 5: Solve for x
    x = 566,083,001.72/23,002.30
  6. Step 6: Final answer
    x = 24,609.84

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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.