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Finding the Fourth Proportional to 13,886.46, 19,163.24 and 7,598.82

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Solution

The fourth proportional to 13,886.46, 19,163.24 and 7,598.82 is: 10,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.46 : 19,163.24 = 7,598.82 : x
  2. Step 2: Convert to fraction form
    13,886.46/19,163.24 = 7,598.82/x
  3. Step 3: Cross multiply
    13,886.46x = 19,163.24 × 7,598.82
  4. Step 4: Simplify right side
    13,886.46x = 145,618,011.38
  5. Step 5: Solve for x
    x = 145,618,011.38/13,886.46
  6. Step 6: Final answer
    x = 10,486.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.