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Finding the Fourth Proportional to 20,239.84, 27,929.66 and 11,164.66

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Solution

The fourth proportional to 20,239.84, 27,929.66 and 11,164.66 is: 15,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,239.84 : 27,929.66 = 11,164.66 : x
  2. Step 2: Convert to fraction form
    20,239.84/27,929.66 = 11,164.66/x
  3. Step 3: Cross multiply
    20,239.84x = 27,929.66 × 11,164.66
  4. Step 4: Simplify right side
    20,239.84x = 311,824,962.34
  5. Step 5: Solve for x
    x = 311,824,962.34/20,239.84
  6. Step 6: Final answer
    x = 15,406.49

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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.