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Finding the Fourth Proportional to 26,822.84, 40,225.14 and 9,288.56

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Solution

The fourth proportional to 26,822.84, 40,225.14 and 9,288.56 is: 13,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,822.84 : 40,225.14 = 9,288.56 : x
  2. Step 2: Convert to fraction form
    26,822.84/40,225.14 = 9,288.56/x
  3. Step 3: Cross multiply
    26,822.84x = 40,225.14 × 9,288.56
  4. Step 4: Simplify right side
    26,822.84x = 373,633,726.96
  5. Step 5: Solve for x
    x = 373,633,726.96/26,822.84
  6. Step 6: Final answer
    x = 13,929.69

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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.