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Finding the Fourth Proportional to 12,711.33, 19,055.64 and 6,467.85

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Solution

The fourth proportional to 12,711.33, 19,055.64 and 6,467.85 is: 9,696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.33 : 19,055.64 = 6,467.85 : x
  2. Step 2: Convert to fraction form
    12,711.33/19,055.64 = 6,467.85/x
  3. Step 3: Cross multiply
    12,711.33x = 19,055.64 × 6,467.85
  4. Step 4: Simplify right side
    12,711.33x = 123,249,021.17
  5. Step 5: Solve for x
    x = 123,249,021.17/12,711.33
  6. Step 6: Final answer
    x = 9,696.00

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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.