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Finding the Fourth Proportional to 26,977.62, 40,470.12 and 9,203.50

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Solution

The fourth proportional to 26,977.62, 40,470.12 and 9,203.50 is: 13,806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,977.62 : 40,470.12 = 9,203.50 : x
  2. Step 2: Convert to fraction form
    26,977.62/40,470.12 = 9,203.50/x
  3. Step 3: Cross multiply
    26,977.62x = 40,470.12 × 9,203.50
  4. Step 4: Simplify right side
    26,977.62x = 372,466,929.34
  5. Step 5: Solve for x
    x = 372,466,929.34/26,977.62
  6. Step 6: Final answer
    x = 13,806.52

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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.