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Finding the Fourth Proportional to 16,815.01, 23,204.24 and 9,646.12

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Solution

The fourth proportional to 16,815.01, 23,204.24 and 9,646.12 is: 13,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,815.01 : 23,204.24 = 9,646.12 : x
  2. Step 2: Convert to fraction form
    16,815.01/23,204.24 = 9,646.12/x
  3. Step 3: Cross multiply
    16,815.01x = 23,204.24 × 9,646.12
  4. Step 4: Simplify right side
    16,815.01x = 223,830,900.50
  5. Step 5: Solve for x
    x = 223,830,900.50/16,815.01
  6. Step 6: Final answer
    x = 13,311.38

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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.