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Finding the Fourth Proportional to 17,768.49, 24,520.56 and 9,702.17

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Solution

The fourth proportional to 17,768.49, 24,520.56 and 9,702.17 is: 13,389.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,768.49 : 24,520.56 = 9,702.17 : x
  2. Step 2: Convert to fraction form
    17,768.49/24,520.56 = 9,702.17/x
  3. Step 3: Cross multiply
    17,768.49x = 24,520.56 × 9,702.17
  4. Step 4: Simplify right side
    17,768.49x = 237,902,519.01
  5. Step 5: Solve for x
    x = 237,902,519.01/17,768.49
  6. Step 6: Final answer
    x = 13,389.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.