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Finding the Fourth Proportional to 12,381.47, 17,087.79 and 8,135.99

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Solution

The fourth proportional to 12,381.47, 17,087.79 and 8,135.99 is: 11,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,381.47 : 17,087.79 = 8,135.99 : x
  2. Step 2: Convert to fraction form
    12,381.47/17,087.79 = 8,135.99/x
  3. Step 3: Cross multiply
    12,381.47x = 17,087.79 × 8,135.99
  4. Step 4: Simplify right side
    12,381.47x = 139,026,088.56
  5. Step 5: Solve for x
    x = 139,026,088.56/12,381.47
  6. Step 6: Final answer
    x = 11,228.56

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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.