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Finding the Fourth Proportional to 16,447.30, 22,696.96 and 9,643.00

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Solution

The fourth proportional to 16,447.30, 22,696.96 and 9,643.00 is: 13,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.30 : 22,696.96 = 9,643.00 : x
  2. Step 2: Convert to fraction form
    16,447.30/22,696.96 = 9,643.00/x
  3. Step 3: Cross multiply
    16,447.30x = 22,696.96 × 9,643.00
  4. Step 4: Simplify right side
    16,447.30x = 218,866,765.07
  5. Step 5: Solve for x
    x = 218,866,765.07/16,447.30
  6. Step 6: Final answer
    x = 13,307.15

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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.