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Finding the Fourth Proportional to 22,835.84, 34,253.24 and 10,523.84

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Solution

The fourth proportional to 22,835.84, 34,253.24 and 10,523.84 is: 15,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,835.84 : 34,253.24 = 10,523.84 : x
  2. Step 2: Convert to fraction form
    22,835.84/34,253.24 = 10,523.84/x
  3. Step 3: Cross multiply
    22,835.84x = 34,253.24 × 10,523.84
  4. Step 4: Simplify right side
    22,835.84x = 360,475,617.24
  5. Step 5: Solve for x
    x = 360,475,617.24/22,835.84
  6. Step 6: Final answer
    x = 15,785.52

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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.