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Finding the Fourth Proportional to 15,899.26, 23,848.88 and 5,511

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Solution

The fourth proportional to 15,899.26, 23,848.88 and 5,511 is: 8,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,899.26 : 23,848.88 = 5,511 : x
  2. Step 2: Convert to fraction form
    15,899.26/23,848.88 = 5,511/x
  3. Step 3: Cross multiply
    15,899.26x = 23,848.88 × 5,511
  4. Step 4: Simplify right side
    15,899.26x = 131,431,177.68
  5. Step 5: Solve for x
    x = 131,431,177.68/15,899.26
  6. Step 6: Final answer
    x = 8,266.50

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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.