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Finding the Fourth Proportional to 20,177.84, 27,845.00 and 11,225.15

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Solution

The fourth proportional to 20,177.84, 27,845.00 and 11,225.15 is: 15,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,177.84 : 27,845.00 = 11,225.15 : x
  2. Step 2: Convert to fraction form
    20,177.84/27,845.00 = 11,225.15/x
  3. Step 3: Cross multiply
    20,177.84x = 27,845.00 × 11,225.15
  4. Step 4: Simplify right side
    20,177.84x = 312,564,106.40
  5. Step 5: Solve for x
    x = 312,564,106.40/20,177.84
  6. Step 6: Final answer
    x = 15,490.47

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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.