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Finding the Fourth Proportional to 27,970.28, 41,970.02 and 11,342.60

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Solution

The fourth proportional to 27,970.28, 41,970.02 and 11,342.60 is: 17,019.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,970.28 : 41,970.02 = 11,342.60 : x
  2. Step 2: Convert to fraction form
    27,970.28/41,970.02 = 11,342.60/x
  3. Step 3: Cross multiply
    27,970.28x = 41,970.02 × 11,342.60
  4. Step 4: Simplify right side
    27,970.28x = 476,049,148.85
  5. Step 5: Solve for x
    x = 476,049,148.85/27,970.28
  6. Step 6: Final answer
    x = 17,019.82

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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.