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Finding the Fourth Proportional to 26,828.84, 40,234.14 and 9,294.57

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Solution

The fourth proportional to 26,828.84, 40,234.14 and 9,294.57 is: 13,938.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,828.84 : 40,234.14 = 9,294.57 : x
  2. Step 2: Convert to fraction form
    26,828.84/40,234.14 = 9,294.57/x
  3. Step 3: Cross multiply
    26,828.84x = 40,234.14 × 9,294.57
  4. Step 4: Simplify right side
    26,828.84x = 373,959,030.62
  5. Step 5: Solve for x
    x = 373,959,030.62/26,828.84
  6. Step 6: Final answer
    x = 13,938.70

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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.