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Finding the Fourth Proportional to 16,335.90, 24,497.46 and 6,980.40

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Solution

The fourth proportional to 16,335.90, 24,497.46 and 6,980.40 is: 10,467.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,335.90 : 24,497.46 = 6,980.40 : x
  2. Step 2: Convert to fraction form
    16,335.90/24,497.46 = 6,980.40/x
  3. Step 3: Cross multiply
    16,335.90x = 24,497.46 × 6,980.40
  4. Step 4: Simplify right side
    16,335.90x = 171,002,069.78
  5. Step 5: Solve for x
    x = 171,002,069.78/16,335.90
  6. Step 6: Final answer
    x = 10,467.87

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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.