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Finding the Fourth Proportional to 21,894.66, 32,847.18 and 7,103.58

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Solution

The fourth proportional to 21,894.66, 32,847.18 and 7,103.58 is: 10,657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.66 : 32,847.18 = 7,103.58 : x
  2. Step 2: Convert to fraction form
    21,894.66/32,847.18 = 7,103.58/x
  3. Step 3: Cross multiply
    21,894.66x = 32,847.18 × 7,103.58
  4. Step 4: Simplify right side
    21,894.66x = 233,332,570.90
  5. Step 5: Solve for x
    x = 233,332,570.90/21,894.66
  6. Step 6: Final answer
    x = 10,657.05

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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.