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Finding the Fourth Proportional to 15,137.76, 22,700.88 and 6,924

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Solution

The fourth proportional to 15,137.76, 22,700.88 and 6,924 is: 10,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.76 : 22,700.88 = 6,924 : x
  2. Step 2: Convert to fraction form
    15,137.76/22,700.88 = 6,924/x
  3. Step 3: Cross multiply
    15,137.76x = 22,700.88 × 6,924
  4. Step 4: Simplify right side
    15,137.76x = 157,180,893.12
  5. Step 5: Solve for x
    x = 157,180,893.12/15,137.76
  6. Step 6: Final answer
    x = 10,383.37

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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.