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Finding the Fourth Proportional to 26,978.62, 40,471.62 and 9,204.50

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Solution

The fourth proportional to 26,978.62, 40,471.62 and 9,204.50 is: 13,808.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,978.62 : 40,471.62 = 9,204.50 : x
  2. Step 2: Convert to fraction form
    26,978.62/40,471.62 = 9,204.50/x
  3. Step 3: Cross multiply
    26,978.62x = 40,471.62 × 9,204.50
  4. Step 4: Simplify right side
    26,978.62x = 372,521,026.29
  5. Step 5: Solve for x
    x = 372,521,026.29/26,978.62
  6. Step 6: Final answer
    x = 13,808.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.