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Finding the Fourth Proportional to 17,196.84, 23,731.38 and 9,643.17

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Solution

The fourth proportional to 17,196.84, 23,731.38 and 9,643.17 is: 13,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,196.84 : 23,731.38 = 9,643.17 : x
  2. Step 2: Convert to fraction form
    17,196.84/23,731.38 = 9,643.17/x
  3. Step 3: Cross multiply
    17,196.84x = 23,731.38 × 9,643.17
  4. Step 4: Simplify right side
    17,196.84x = 228,845,731.67
  5. Step 5: Solve for x
    x = 228,845,731.67/17,196.84
  6. Step 6: Final answer
    x = 13,307.43

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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.