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Finding the Fourth Proportional to 12,165.34, 16,788.14 and 6,860.15

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Solution

The fourth proportional to 12,165.34, 16,788.14 and 6,860.15 is: 9,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.34 : 16,788.14 = 6,860.15 : x
  2. Step 2: Convert to fraction form
    12,165.34/16,788.14 = 6,860.15/x
  3. Step 3: Cross multiply
    12,165.34x = 16,788.14 × 6,860.15
  4. Step 4: Simplify right side
    12,165.34x = 115,169,156.98
  5. Step 5: Solve for x
    x = 115,169,156.98/12,165.34
  6. Step 6: Final answer
    x = 9,466.99

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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.