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Finding the Fourth Proportional to 13,357.17, 20,031.21 and 5,458.50

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Solution

The fourth proportional to 13,357.17, 20,031.21 and 5,458.50 is: 8,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,357.17 : 20,031.21 = 5,458.50 : x
  2. Step 2: Convert to fraction form
    13,357.17/20,031.21 = 5,458.50/x
  3. Step 3: Cross multiply
    13,357.17x = 20,031.21 × 5,458.50
  4. Step 4: Simplify right side
    13,357.17x = 109,340,359.79
  5. Step 5: Solve for x
    x = 109,340,359.79/13,357.17
  6. Step 6: Final answer
    x = 8,185.89

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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.