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Finding the Fourth Proportional to 26,738.12, 40,115.82 and 9,208.10

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Solution

The fourth proportional to 26,738.12, 40,115.82 and 9,208.10 is: 13,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,738.12 : 40,115.82 = 9,208.10 : x
  2. Step 2: Convert to fraction form
    26,738.12/40,115.82 = 9,208.10/x
  3. Step 3: Cross multiply
    26,738.12x = 40,115.82 × 9,208.10
  4. Step 4: Simplify right side
    26,738.12x = 369,390,482.14
  5. Step 5: Solve for x
    x = 369,390,482.14/26,738.12
  6. Step 6: Final answer
    x = 13,815.13

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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.