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Finding the Fourth Proportional to 27,838.56, 41,774.04 and 10,320.60

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Solution

The fourth proportional to 27,838.56, 41,774.04 and 10,320.60 is: 15,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.56 : 41,774.04 = 10,320.60 : x
  2. Step 2: Convert to fraction form
    27,838.56/41,774.04 = 10,320.60/x
  3. Step 3: Cross multiply
    27,838.56x = 41,774.04 × 10,320.60
  4. Step 4: Simplify right side
    27,838.56x = 431,133,157.22
  5. Step 5: Solve for x
    x = 431,133,157.22/27,838.56
  6. Step 6: Final answer
    x = 15,486.91

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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.