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Finding the Fourth Proportional to 22,529.76, 33,709.80 and 13,833.72

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Solution

The fourth proportional to 22,529.76, 33,709.80 and 13,833.72 is: 20,698.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,529.76 : 33,709.80 = 13,833.72 : x
  2. Step 2: Convert to fraction form
    22,529.76/33,709.80 = 13,833.72/x
  3. Step 3: Cross multiply
    22,529.76x = 33,709.80 × 13,833.72
  4. Step 4: Simplify right side
    22,529.76x = 466,331,934.46
  5. Step 5: Solve for x
    x = 466,331,934.46/22,529.76
  6. Step 6: Final answer
    x = 20,698.49

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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.