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Finding the Fourth Proportional to 12,877.80, 19,284.30 and 8,471.40

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Solution

The fourth proportional to 12,877.80, 19,284.30 and 8,471.40 is: 12,685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.80 : 19,284.30 = 8,471.40 : x
  2. Step 2: Convert to fraction form
    12,877.80/19,284.30 = 8,471.40/x
  3. Step 3: Cross multiply
    12,877.80x = 19,284.30 × 8,471.40
  4. Step 4: Simplify right side
    12,877.80x = 163,365,019.02
  5. Step 5: Solve for x
    x = 163,365,019.02/12,877.80
  6. Step 6: Final answer
    x = 12,685.79

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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.