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Finding the Fourth Proportional to 17,092.16, 23,587.84 and 9,640

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Solution

The fourth proportional to 17,092.16, 23,587.84 and 9,640 is: 13,303.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,092.16 : 23,587.84 = 9,640 : x
  2. Step 2: Convert to fraction form
    17,092.16/23,587.84 = 9,640/x
  3. Step 3: Cross multiply
    17,092.16x = 23,587.84 × 9,640
  4. Step 4: Simplify right side
    17,092.16x = 227,386,777.60
  5. Step 5: Solve for x
    x = 227,386,777.60/17,092.16
  6. Step 6: Final answer
    x = 13,303.57

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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.