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Finding the Fourth Proportional to 15,906.31, 23,851.94 and 5,904.16

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Solution

The fourth proportional to 15,906.31, 23,851.94 and 5,904.16 is: 8,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,906.31 : 23,851.94 = 5,904.16 : x
  2. Step 2: Convert to fraction form
    15,906.31/23,851.94 = 5,904.16/x
  3. Step 3: Cross multiply
    15,906.31x = 23,851.94 × 5,904.16
  4. Step 4: Simplify right side
    15,906.31x = 140,825,580.92
  5. Step 5: Solve for x
    x = 140,825,580.92/15,906.31
  6. Step 6: Final answer
    x = 8,853.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.