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Finding the Fourth Proportional to 13,066.47, 18,032.09 and 7,689.24

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Solution

The fourth proportional to 13,066.47, 18,032.09 and 7,689.24 is: 10,611.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,066.47 : 18,032.09 = 7,689.24 : x
  2. Step 2: Convert to fraction form
    13,066.47/18,032.09 = 7,689.24/x
  3. Step 3: Cross multiply
    13,066.47x = 18,032.09 × 7,689.24
  4. Step 4: Simplify right side
    13,066.47x = 138,653,029.27
  5. Step 5: Solve for x
    x = 138,653,029.27/13,066.47
  6. Step 6: Final answer
    x = 10,611.36

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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.