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Finding the Fourth Proportional to 22,352.81, 33,529.14 and 5,712.84

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Solution

The fourth proportional to 22,352.81, 33,529.14 and 5,712.84 is: 8,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,352.81 : 33,529.14 = 5,712.84 : x
  2. Step 2: Convert to fraction form
    22,352.81/33,529.14 = 5,712.84/x
  3. Step 3: Cross multiply
    22,352.81x = 33,529.14 × 5,712.84
  4. Step 4: Simplify right side
    22,352.81x = 191,546,612.16
  5. Step 5: Solve for x
    x = 191,546,612.16/22,352.81
  6. Step 6: Final answer
    x = 8,569.24

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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.