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Finding the Fourth Proportional to 12,889.32, 19,315.76 and 5,486.33

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Solution

The fourth proportional to 12,889.32, 19,315.76 and 5,486.33 is: 8,221.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.32 : 19,315.76 = 5,486.33 : x
  2. Step 2: Convert to fraction form
    12,889.32/19,315.76 = 5,486.33/x
  3. Step 3: Cross multiply
    12,889.32x = 19,315.76 × 5,486.33
  4. Step 4: Simplify right side
    12,889.32x = 105,972,509.55
  5. Step 5: Solve for x
    x = 105,972,509.55/12,889.32
  6. Step 6: Final answer
    x = 8,221.73

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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.