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Finding the Fourth Proportional to 17,065, 23,550.06 and 9,613

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Solution

The fourth proportional to 17,065, 23,550.06 and 9,613 is: 13,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,065 : 23,550.06 = 9,613 : x
  2. Step 2: Convert to fraction form
    17,065/23,550.06 = 9,613/x
  3. Step 3: Cross multiply
    17,065x = 23,550.06 × 9,613
  4. Step 4: Simplify right side
    17,065x = 226,386,726.78
  5. Step 5: Solve for x
    x = 226,386,726.78/17,065
  6. Step 6: Final answer
    x = 13,266.14

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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.