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Finding the Fourth Proportional to 15,946.86, 22,003.34 and 9,232.10

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Solution

The fourth proportional to 15,946.86, 22,003.34 and 9,232.10 is: 12,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,946.86 : 22,003.34 = 9,232.10 : x
  2. Step 2: Convert to fraction form
    15,946.86/22,003.34 = 9,232.10/x
  3. Step 3: Cross multiply
    15,946.86x = 22,003.34 × 9,232.10
  4. Step 4: Simplify right side
    15,946.86x = 203,137,035.21
  5. Step 5: Solve for x
    x = 203,137,035.21/15,946.86
  6. Step 6: Final answer
    x = 12,738.37

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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.