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Finding the Fourth Proportional to 16,309.95, 22,486.30 and 11,768.82

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Solution

The fourth proportional to 16,309.95, 22,486.30 and 11,768.82 is: 16,225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.95 : 22,486.30 = 11,768.82 : x
  2. Step 2: Convert to fraction form
    16,309.95/22,486.30 = 11,768.82/x
  3. Step 3: Cross multiply
    16,309.95x = 22,486.30 × 11,768.82
  4. Step 4: Simplify right side
    16,309.95x = 264,637,217.17
  5. Step 5: Solve for x
    x = 264,637,217.17/16,309.95
  6. Step 6: Final answer
    x = 16,225.51

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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.