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Finding the Fourth Proportional to 16,002.70, 24,005.33 and 4,315.75

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Solution

The fourth proportional to 16,002.70, 24,005.33 and 4,315.75 is: 6,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.70 : 24,005.33 = 4,315.75 : x
  2. Step 2: Convert to fraction form
    16,002.70/24,005.33 = 4,315.75/x
  3. Step 3: Cross multiply
    16,002.70x = 24,005.33 × 4,315.75
  4. Step 4: Simplify right side
    16,002.70x = 103,601,002.95
  5. Step 5: Solve for x
    x = 103,601,002.95/16,002.70
  6. Step 6: Final answer
    x = 6,473.97

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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.