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Finding the Fourth Proportional to 17,377.98, 23,981.40 and 9,420

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Solution

The fourth proportional to 17,377.98, 23,981.40 and 9,420 is: 12,999.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,377.98 : 23,981.40 = 9,420 : x
  2. Step 2: Convert to fraction form
    17,377.98/23,981.40 = 9,420/x
  3. Step 3: Cross multiply
    17,377.98x = 23,981.40 × 9,420
  4. Step 4: Simplify right side
    17,377.98x = 225,904,788
  5. Step 5: Solve for x
    x = 225,904,788/17,377.98
  6. Step 6: Final answer
    x = 12,999.48

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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.