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Finding the Fourth Proportional to 15,967.74, 22,035.19 and 8,894.01

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Solution

The fourth proportional to 15,967.74, 22,035.19 and 8,894.01 is: 12,273.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,967.74 : 22,035.19 = 8,894.01 : x
  2. Step 2: Convert to fraction form
    15,967.74/22,035.19 = 8,894.01/x
  3. Step 3: Cross multiply
    15,967.74x = 22,035.19 × 8,894.01
  4. Step 4: Simplify right side
    15,967.74x = 195,981,200.21
  5. Step 5: Solve for x
    x = 195,981,200.21/15,967.74
  6. Step 6: Final answer
    x = 12,273.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.