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Finding the Fourth Proportional to 12,881.89, 19,330.14 and 5,485.58

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Solution

The fourth proportional to 12,881.89, 19,330.14 and 5,485.58 is: 8,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.89 : 19,330.14 = 5,485.58 : x
  2. Step 2: Convert to fraction form
    12,881.89/19,330.14 = 5,485.58/x
  3. Step 3: Cross multiply
    12,881.89x = 19,330.14 × 5,485.58
  4. Step 4: Simplify right side
    12,881.89x = 106,037,025.79
  5. Step 5: Solve for x
    x = 106,037,025.79/12,881.89
  6. Step 6: Final answer
    x = 8,231.48

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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.