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Finding the Fourth Proportional to 22,256.32, 33,384.48 and 13,493.76

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Solution

The fourth proportional to 22,256.32, 33,384.48 and 13,493.76 is: 20,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,256.32 : 33,384.48 = 13,493.76 : x
  2. Step 2: Convert to fraction form
    22,256.32/33,384.48 = 13,493.76/x
  3. Step 3: Cross multiply
    22,256.32x = 33,384.48 × 13,493.76
  4. Step 4: Simplify right side
    22,256.32x = 450,482,160.84
  5. Step 5: Solve for x
    x = 450,482,160.84/22,256.32
  6. Step 6: Final answer
    x = 20,240.64

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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.