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Finding the Fourth Proportional to 11,678.76, 16,001.56 and 11,522.94

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Solution

The fourth proportional to 11,678.76, 16,001.56 and 11,522.94 is: 15,788.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.76 : 16,001.56 = 11,522.94 : x
  2. Step 2: Convert to fraction form
    11,678.76/16,001.56 = 11,522.94/x
  3. Step 3: Cross multiply
    11,678.76x = 16,001.56 × 11,522.94
  4. Step 4: Simplify right side
    11,678.76x = 184,385,015.79
  5. Step 5: Solve for x
    x = 184,385,015.79/11,678.76
  6. Step 6: Final answer
    x = 15,788.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.