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Finding the Fourth Proportional to 17,361, 26,036.10 and 6,266.24

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Solution

The fourth proportional to 17,361, 26,036.10 and 6,266.24 is: 9,397.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,361 : 26,036.10 = 6,266.24 : x
  2. Step 2: Convert to fraction form
    17,361/26,036.10 = 6,266.24/x
  3. Step 3: Cross multiply
    17,361x = 26,036.10 × 6,266.24
  4. Step 4: Simplify right side
    17,361x = 163,148,321.08
  5. Step 5: Solve for x
    x = 163,148,321.08/17,361
  6. Step 6: Final answer
    x = 9,397.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.