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Finding the Fourth Proportional to 16,971.18, 23,420.76 and 9,418.06

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Solution

The fourth proportional to 16,971.18, 23,420.76 and 9,418.06 is: 12,997.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,971.18 : 23,420.76 = 9,418.06 : x
  2. Step 2: Convert to fraction form
    16,971.18/23,420.76 = 9,418.06/x
  3. Step 3: Cross multiply
    16,971.18x = 23,420.76 × 9,418.06
  4. Step 4: Simplify right side
    16,971.18x = 220,578,122.93
  5. Step 5: Solve for x
    x = 220,578,122.93/16,971.18
  6. Step 6: Final answer
    x = 12,997.22

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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.