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Finding the Fourth Proportional to 13,821.76, 20,719.68 and 6,888.64

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Solution

The fourth proportional to 13,821.76, 20,719.68 and 6,888.64 is: 10,326.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.76 : 20,719.68 = 6,888.64 : x
  2. Step 2: Convert to fraction form
    13,821.76/20,719.68 = 6,888.64/x
  3. Step 3: Cross multiply
    13,821.76x = 20,719.68 × 6,888.64
  4. Step 4: Simplify right side
    13,821.76x = 142,730,416.44
  5. Step 5: Solve for x
    x = 142,730,416.44/13,821.76
  6. Step 6: Final answer
    x = 10,326.50

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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.