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Finding the Fourth Proportional to 17,957.22, 26,931.78 and 6,859.95

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Solution

The fourth proportional to 17,957.22, 26,931.78 and 6,859.95 is: 10,288.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,957.22 : 26,931.78 = 6,859.95 : x
  2. Step 2: Convert to fraction form
    17,957.22/26,931.78 = 6,859.95/x
  3. Step 3: Cross multiply
    17,957.22x = 26,931.78 × 6,859.95
  4. Step 4: Simplify right side
    17,957.22x = 184,750,664.21
  5. Step 5: Solve for x
    x = 184,750,664.21/17,957.22
  6. Step 6: Final answer
    x = 10,288.38

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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.