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Finding the Fourth Proportional to 15,486.69, 23,178.44 and 11,768.11

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Solution

The fourth proportional to 15,486.69, 23,178.44 and 11,768.11 is: 17,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,486.69 : 23,178.44 = 11,768.11 : x
  2. Step 2: Convert to fraction form
    15,486.69/23,178.44 = 11,768.11/x
  3. Step 3: Cross multiply
    15,486.69x = 23,178.44 × 11,768.11
  4. Step 4: Simplify right side
    15,486.69x = 272,766,451.66
  5. Step 5: Solve for x
    x = 272,766,451.66/15,486.69
  6. Step 6: Final answer
    x = 17,612.96

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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.