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Finding the Fourth Proportional to 16,135.16, 22,274.44 and 10,175.98

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Solution

The fourth proportional to 16,135.16, 22,274.44 and 10,175.98 is: 14,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,135.16 : 22,274.44 = 10,175.98 : x
  2. Step 2: Convert to fraction form
    16,135.16/22,274.44 = 10,175.98/x
  3. Step 3: Cross multiply
    16,135.16x = 22,274.44 × 10,175.98
  4. Step 4: Simplify right side
    16,135.16x = 226,664,255.95
  5. Step 5: Solve for x
    x = 226,664,255.95/16,135.16
  6. Step 6: Final answer
    x = 14,047.85

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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.