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Finding the Fourth Proportional to 27,882.17, 38,477.54 and 15,946.01

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Solution

The fourth proportional to 27,882.17, 38,477.54 and 15,946.01 is: 22,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,882.17 : 38,477.54 = 15,946.01 : x
  2. Step 2: Convert to fraction form
    27,882.17/38,477.54 = 15,946.01/x
  3. Step 3: Cross multiply
    27,882.17x = 38,477.54 × 15,946.01
  4. Step 4: Simplify right side
    27,882.17x = 613,563,237.62
  5. Step 5: Solve for x
    x = 613,563,237.62/27,882.17
  6. Step 6: Final answer
    x = 22,005.58

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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.