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Finding the Fourth Proportional to 15,904.80, 21,930.48 and 11,414.16

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Solution

The fourth proportional to 15,904.80, 21,930.48 and 11,414.16 is: 15,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,904.80 : 21,930.48 = 11,414.16 : x
  2. Step 2: Convert to fraction form
    15,904.80/21,930.48 = 11,414.16/x
  3. Step 3: Cross multiply
    15,904.80x = 21,930.48 × 11,414.16
  4. Step 4: Simplify right side
    15,904.80x = 250,318,007.60
  5. Step 5: Solve for x
    x = 250,318,007.60/15,904.80
  6. Step 6: Final answer
    x = 15,738.52

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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.