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Finding the Fourth Proportional to 13,592.76, 20,392.06 and 4,232.58

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Solution

The fourth proportional to 13,592.76, 20,392.06 and 4,232.58 is: 6,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,592.76 : 20,392.06 = 4,232.58 : x
  2. Step 2: Convert to fraction form
    13,592.76/20,392.06 = 4,232.58/x
  3. Step 3: Cross multiply
    13,592.76x = 20,392.06 × 4,232.58
  4. Step 4: Simplify right side
    13,592.76x = 86,311,025.31
  5. Step 5: Solve for x
    x = 86,311,025.31/13,592.76
  6. Step 6: Final answer
    x = 6,349.78

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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.