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Finding the Fourth Proportional to 17,068, 23,554.08 and 9,616

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Solution

The fourth proportional to 17,068, 23,554.08 and 9,616 is: 13,270.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,068 : 23,554.08 = 9,616 : x
  2. Step 2: Convert to fraction form
    17,068/23,554.08 = 9,616/x
  3. Step 3: Cross multiply
    17,068x = 23,554.08 × 9,616
  4. Step 4: Simplify right side
    17,068x = 226,496,033.28
  5. Step 5: Solve for x
    x = 226,496,033.28/17,068
  6. Step 6: Final answer
    x = 13,270.22

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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.