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Finding the Fourth Proportional to 12,386.17, 18,577.14 and 4,065.97

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Solution

The fourth proportional to 12,386.17, 18,577.14 and 4,065.97 is: 6,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.17 : 18,577.14 = 4,065.97 : x
  2. Step 2: Convert to fraction form
    12,386.17/18,577.14 = 4,065.97/x
  3. Step 3: Cross multiply
    12,386.17x = 18,577.14 × 4,065.97
  4. Step 4: Simplify right side
    12,386.17x = 75,534,093.93
  5. Step 5: Solve for x
    x = 75,534,093.93/12,386.17
  6. Step 6: Final answer
    x = 6,098.26

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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.