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Finding the Fourth Proportional to 16,204.32, 22,360.32 and 9,396

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Solution

The fourth proportional to 16,204.32, 22,360.32 and 9,396 is: 12,965.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,204.32 : 22,360.32 = 9,396 : x
  2. Step 2: Convert to fraction form
    16,204.32/22,360.32 = 9,396/x
  3. Step 3: Cross multiply
    16,204.32x = 22,360.32 × 9,396
  4. Step 4: Simplify right side
    16,204.32x = 210,097,566.72
  5. Step 5: Solve for x
    x = 210,097,566.72/16,204.32
  6. Step 6: Final answer
    x = 12,965.53

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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.