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Finding the Fourth Proportional to 16,468, 24,702.06 and 3,988

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Solution

The fourth proportional to 16,468, 24,702.06 and 3,988 is: 5,982.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468 : 24,702.06 = 3,988 : x
  2. Step 2: Convert to fraction form
    16,468/24,702.06 = 3,988/x
  3. Step 3: Cross multiply
    16,468x = 24,702.06 × 3,988
  4. Step 4: Simplify right side
    16,468x = 98,511,815.28
  5. Step 5: Solve for x
    x = 98,511,815.28/16,468
  6. Step 6: Final answer
    x = 5,982.01

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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.