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Finding the Fourth Proportional to 15,696.64, 21,661.38 and 8,623.48

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Solution

The fourth proportional to 15,696.64, 21,661.38 and 8,623.48 is: 11,900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,696.64 : 21,661.38 = 8,623.48 : x
  2. Step 2: Convert to fraction form
    15,696.64/21,661.38 = 8,623.48/x
  3. Step 3: Cross multiply
    15,696.64x = 21,661.38 × 8,623.48
  4. Step 4: Simplify right side
    15,696.64x = 186,796,477.20
  5. Step 5: Solve for x
    x = 186,796,477.20/15,696.64
  6. Step 6: Final answer
    x = 11,900.41

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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.