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Finding the Fourth Proportional to 12,886.66, 19,334.31 and 5,487.94

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Solution

The fourth proportional to 12,886.66, 19,334.31 and 5,487.94 is: 8,233.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.66 : 19,334.31 = 5,487.94 : x
  2. Step 2: Convert to fraction form
    12,886.66/19,334.31 = 5,487.94/x
  3. Step 3: Cross multiply
    12,886.66x = 19,334.31 × 5,487.94
  4. Step 4: Simplify right side
    12,886.66x = 106,105,533.22
  5. Step 5: Solve for x
    x = 106,105,533.22/12,886.66
  6. Step 6: Final answer
    x = 8,233.75

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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.