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Finding the Fourth Proportional to 12,386.34, 17,107.34 and 8,156.31

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Solution

The fourth proportional to 12,386.34, 17,107.34 and 8,156.31 is: 11,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,386.34 : 17,107.34 = 8,156.31 : x
  2. Step 2: Convert to fraction form
    12,386.34/17,107.34 = 8,156.31/x
  3. Step 3: Cross multiply
    12,386.34x = 17,107.34 × 8,156.31
  4. Step 4: Simplify right side
    12,386.34x = 139,532,788.71
  5. Step 5: Solve for x
    x = 139,532,788.71/12,386.34
  6. Step 6: Final answer
    x = 11,265.06

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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.