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Finding the Fourth Proportional to 12,785.80, 19,178.70 and 9,675.40

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Solution

The fourth proportional to 12,785.80, 19,178.70 and 9,675.40 is: 14,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.80 : 19,178.70 = 9,675.40 : x
  2. Step 2: Convert to fraction form
    12,785.80/19,178.70 = 9,675.40/x
  3. Step 3: Cross multiply
    12,785.80x = 19,178.70 × 9,675.40
  4. Step 4: Simplify right side
    12,785.80x = 185,561,593.98
  5. Step 5: Solve for x
    x = 185,561,593.98/12,785.80
  6. Step 6: Final answer
    x = 14,513.10

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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.