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Finding the Fourth Proportional to 26,788.64, 36,968.03 and 15,458

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Solution

The fourth proportional to 26,788.64, 36,968.03 and 15,458 is: 21,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,788.64 : 36,968.03 = 15,458 : x
  2. Step 2: Convert to fraction form
    26,788.64/36,968.03 = 15,458/x
  3. Step 3: Cross multiply
    26,788.64x = 36,968.03 × 15,458
  4. Step 4: Simplify right side
    26,788.64x = 571,451,807.74
  5. Step 5: Solve for x
    x = 571,451,807.74/26,788.64
  6. Step 6: Final answer
    x = 21,331.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.