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Finding the Fourth Proportional to 16,142.09, 22,275.93 and 8,972.03

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Solution

The fourth proportional to 16,142.09, 22,275.93 and 8,972.03 is: 12,381.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.09 : 22,275.93 = 8,972.03 : x
  2. Step 2: Convert to fraction form
    16,142.09/22,275.93 = 8,972.03/x
  3. Step 3: Cross multiply
    16,142.09x = 22,275.93 × 8,972.03
  4. Step 4: Simplify right side
    16,142.09x = 199,860,351.11
  5. Step 5: Solve for x
    x = 199,860,351.11/16,142.09
  6. Step 6: Final answer
    x = 12,381.32

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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.