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Finding the Fourth Proportional to 16,904.22, 25,323.21 and 8,002.14

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Solution

The fourth proportional to 16,904.22, 25,323.21 and 8,002.14 is: 11,987.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,904.22 : 25,323.21 = 8,002.14 : x
  2. Step 2: Convert to fraction form
    16,904.22/25,323.21 = 8,002.14/x
  3. Step 3: Cross multiply
    16,904.22x = 25,323.21 × 8,002.14
  4. Step 4: Simplify right side
    16,904.22x = 202,639,871.67
  5. Step 5: Solve for x
    x = 202,639,871.67/16,904.22
  6. Step 6: Final answer
    x = 11,987.53

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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.