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Finding the Fourth Proportional to 17,801.66, 24,566.45 and 9,844.42

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Solution

The fourth proportional to 17,801.66, 24,566.45 and 9,844.42 is: 13,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,801.66 : 24,566.45 = 9,844.42 : x
  2. Step 2: Convert to fraction form
    17,801.66/24,566.45 = 9,844.42/x
  3. Step 3: Cross multiply
    17,801.66x = 24,566.45 × 9,844.42
  4. Step 4: Simplify right side
    17,801.66x = 241,842,451.71
  5. Step 5: Solve for x
    x = 241,842,451.71/17,801.66
  6. Step 6: Final answer
    x = 13,585.39

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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.