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Finding the Fourth Proportional to 16,525.32, 22,794.56 and 9,806.19

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Solution

The fourth proportional to 16,525.32, 22,794.56 and 9,806.19 is: 13,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.32 : 22,794.56 = 9,806.19 : x
  2. Step 2: Convert to fraction form
    16,525.32/22,794.56 = 9,806.19/x
  3. Step 3: Cross multiply
    16,525.32x = 22,794.56 × 9,806.19
  4. Step 4: Simplify right side
    16,525.32x = 223,527,737.30
  5. Step 5: Solve for x
    x = 223,527,737.30/16,525.32
  6. Step 6: Final answer
    x = 13,526.38

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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.