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Finding the Fourth Proportional to 12,775.80, 19,163.70 and 9,665.40

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Solution

The fourth proportional to 12,775.80, 19,163.70 and 9,665.40 is: 14,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775.80 : 19,163.70 = 9,665.40 : x
  2. Step 2: Convert to fraction form
    12,775.80/19,163.70 = 9,665.40/x
  3. Step 3: Cross multiply
    12,775.80x = 19,163.70 × 9,665.40
  4. Step 4: Simplify right side
    12,775.80x = 185,224,825.98
  5. Step 5: Solve for x
    x = 185,224,825.98/12,775.80
  6. Step 6: Final answer
    x = 14,498.10

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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.