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Finding the Fourth Proportional to 16,717.72, 23,068.38 and 9,643

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Solution

The fourth proportional to 16,717.72, 23,068.38 and 9,643 is: 13,306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,717.72 : 23,068.38 = 9,643 : x
  2. Step 2: Convert to fraction form
    16,717.72/23,068.38 = 9,643/x
  3. Step 3: Cross multiply
    16,717.72x = 23,068.38 × 9,643
  4. Step 4: Simplify right side
    16,717.72x = 222,448,388.34
  5. Step 5: Solve for x
    x = 222,448,388.34/16,717.72
  6. Step 6: Final answer
    x = 13,306.14

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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.