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Finding the Fourth Proportional to 16,556.32, 22,849.80 and 9,482.75

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Solution

The fourth proportional to 16,556.32, 22,849.80 and 9,482.75 is: 13,087.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,556.32 : 22,849.80 = 9,482.75 : x
  2. Step 2: Convert to fraction form
    16,556.32/22,849.80 = 9,482.75/x
  3. Step 3: Cross multiply
    16,556.32x = 22,849.80 × 9,482.75
  4. Step 4: Simplify right side
    16,556.32x = 216,678,940.95
  5. Step 5: Solve for x
    x = 216,678,940.95/16,556.32
  6. Step 6: Final answer
    x = 13,087.39

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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.