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Finding the Fourth Proportional to 12,855.20, 19,282.80 and 10,666.40

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Solution

The fourth proportional to 12,855.20, 19,282.80 and 10,666.40 is: 15,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.20 : 19,282.80 = 10,666.40 : x
  2. Step 2: Convert to fraction form
    12,855.20/19,282.80 = 10,666.40/x
  3. Step 3: Cross multiply
    12,855.20x = 19,282.80 × 10,666.40
  4. Step 4: Simplify right side
    12,855.20x = 205,678,057.92
  5. Step 5: Solve for x
    x = 205,678,057.92/12,855.20
  6. Step 6: Final answer
    x = 15,999.60

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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.