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Finding the Fourth Proportional to 13,338.64, 20,009.88 and 4,102.48

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Solution

The fourth proportional to 13,338.64, 20,009.88 and 4,102.48 is: 6,154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,338.64 : 20,009.88 = 4,102.48 : x
  2. Step 2: Convert to fraction form
    13,338.64/20,009.88 = 4,102.48/x
  3. Step 3: Cross multiply
    13,338.64x = 20,009.88 × 4,102.48
  4. Step 4: Simplify right side
    13,338.64x = 82,090,132.50
  5. Step 5: Solve for x
    x = 82,090,132.50/13,338.64
  6. Step 6: Final answer
    x = 6,154.31

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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.