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Finding the Fourth Proportional to 15,140.91, 20,894.88 and 8,427.23

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Solution

The fourth proportional to 15,140.91, 20,894.88 and 8,427.23 is: 11,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,140.91 : 20,894.88 = 8,427.23 : x
  2. Step 2: Convert to fraction form
    15,140.91/20,894.88 = 8,427.23/x
  3. Step 3: Cross multiply
    15,140.91x = 20,894.88 × 8,427.23
  4. Step 4: Simplify right side
    15,140.91x = 176,085,812.97
  5. Step 5: Solve for x
    x = 176,085,812.97/15,140.91
  6. Step 6: Final answer
    x = 11,629.80

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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.