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Finding the Fourth Proportional to 26,978.04, 40,460.76 and 10,346.04

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Solution

The fourth proportional to 26,978.04, 40,460.76 and 10,346.04 is: 15,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.04 : 40,460.76 = 10,346.04 : x
  2. Step 2: Convert to fraction form
    26,978.04/40,460.76 = 10,346.04/x
  3. Step 3: Cross multiply
    26,978.04x = 40,460.76 × 10,346.04
  4. Step 4: Simplify right side
    26,978.04x = 418,608,641.39
  5. Step 5: Solve for x
    x = 418,608,641.39/26,978.04
  6. Step 6: Final answer
    x = 15,516.64

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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.