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Finding the Fourth Proportional to 17,332, 23,919.27 and 9,775.57

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Solution

The fourth proportional to 17,332, 23,919.27 and 9,775.57 is: 13,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,332 : 23,919.27 = 9,775.57 : x
  2. Step 2: Convert to fraction form
    17,332/23,919.27 = 9,775.57/x
  3. Step 3: Cross multiply
    17,332x = 23,919.27 × 9,775.57
  4. Step 4: Simplify right side
    17,332x = 233,824,498.23
  5. Step 5: Solve for x
    x = 233,824,498.23/17,332
  6. Step 6: Final answer
    x = 13,490.91

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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.