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Finding the Fourth Proportional to 13,031.59, 19,544.28 and 5,133.82

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Solution

The fourth proportional to 13,031.59, 19,544.28 and 5,133.82 is: 7,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.59 : 19,544.28 = 5,133.82 : x
  2. Step 2: Convert to fraction form
    13,031.59/19,544.28 = 5,133.82/x
  3. Step 3: Cross multiply
    13,031.59x = 19,544.28 × 5,133.82
  4. Step 4: Simplify right side
    13,031.59x = 100,336,815.55
  5. Step 5: Solve for x
    x = 100,336,815.55/13,031.59
  6. Step 6: Final answer
    x = 7,699.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.