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Finding the Fourth Proportional to 12,878.96, 19,313.46 and 5,486.84

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Solution

The fourth proportional to 12,878.96, 19,313.46 and 5,486.84 is: 8,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.96 : 19,313.46 = 5,486.84 : x
  2. Step 2: Convert to fraction form
    12,878.96/19,313.46 = 5,486.84/x
  3. Step 3: Cross multiply
    12,878.96x = 19,313.46 × 5,486.84
  4. Step 4: Simplify right side
    12,878.96x = 105,969,864.87
  5. Step 5: Solve for x
    x = 105,969,864.87/12,878.96
  6. Step 6: Final answer
    x = 8,228.14

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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.