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Finding the Fourth Proportional to 17,095, 23,591.13 and 9,643

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Solution

The fourth proportional to 17,095, 23,591.13 and 9,643 is: 13,307.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,095 : 23,591.13 = 9,643 : x
  2. Step 2: Convert to fraction form
    17,095/23,591.13 = 9,643/x
  3. Step 3: Cross multiply
    17,095x = 23,591.13 × 9,643
  4. Step 4: Simplify right side
    17,095x = 227,489,266.59
  5. Step 5: Solve for x
    x = 227,489,266.59/17,095
  6. Step 6: Final answer
    x = 13,307.36

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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.