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Finding the Fourth Proportional to 12,468.69, 17,191.22 and 7,985.07

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Solution

The fourth proportional to 12,468.69, 17,191.22 and 7,985.07 is: 11,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,468.69 : 17,191.22 = 7,985.07 : x
  2. Step 2: Convert to fraction form
    12,468.69/17,191.22 = 7,985.07/x
  3. Step 3: Cross multiply
    12,468.69x = 17,191.22 × 7,985.07
  4. Step 4: Simplify right side
    12,468.69x = 137,273,009.13
  5. Step 5: Solve for x
    x = 137,273,009.13/12,468.69
  6. Step 6: Final answer
    x = 11,009.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.