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Finding the Fourth Proportional to 26,935.38, 40,421.50 and 9,405.20

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Solution

The fourth proportional to 26,935.38, 40,421.50 and 9,405.20 is: 14,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,935.38 : 40,421.50 = 9,405.20 : x
  2. Step 2: Convert to fraction form
    26,935.38/40,421.50 = 9,405.20/x
  3. Step 3: Cross multiply
    26,935.38x = 40,421.50 × 9,405.20
  4. Step 4: Simplify right side
    26,935.38x = 380,172,291.80
  5. Step 5: Solve for x
    x = 380,172,291.80/26,935.38
  6. Step 6: Final answer
    x = 14,114.24

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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.