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Finding the Fourth Proportional to 13,886.63, 20,832.11 and 4,524.47

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Solution

The fourth proportional to 13,886.63, 20,832.11 and 4,524.47 is: 6,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.63 : 20,832.11 = 4,524.47 : x
  2. Step 2: Convert to fraction form
    13,886.63/20,832.11 = 4,524.47/x
  3. Step 3: Cross multiply
    13,886.63x = 20,832.11 × 4,524.47
  4. Step 4: Simplify right side
    13,886.63x = 94,254,256.73
  5. Step 5: Solve for x
    x = 94,254,256.73/13,886.63
  6. Step 6: Final answer
    x = 6,787.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.