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Finding the Fourth Proportional to 13,342.64, 20,017.41 and 7,097.50

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Solution

The fourth proportional to 13,342.64, 20,017.41 and 7,097.50 is: 10,648.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,342.64 : 20,017.41 = 7,097.50 : x
  2. Step 2: Convert to fraction form
    13,342.64/20,017.41 = 7,097.50/x
  3. Step 3: Cross multiply
    13,342.64x = 20,017.41 × 7,097.50
  4. Step 4: Simplify right side
    13,342.64x = 142,073,565.88
  5. Step 5: Solve for x
    x = 142,073,565.88/13,342.64
  6. Step 6: Final answer
    x = 10,648.09

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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.