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Finding the Fourth Proportional to 16,257.40, 24,388.07 and 4,570.62

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Solution

The fourth proportional to 16,257.40, 24,388.07 and 4,570.62 is: 6,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.40 : 24,388.07 = 4,570.62 : x
  2. Step 2: Convert to fraction form
    16,257.40/24,388.07 = 4,570.62/x
  3. Step 3: Cross multiply
    16,257.40x = 24,388.07 × 4,570.62
  4. Step 4: Simplify right side
    16,257.40x = 111,468,600.50
  5. Step 5: Solve for x
    x = 111,468,600.50/16,257.40
  6. Step 6: Final answer
    x = 6,856.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.