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Finding the Fourth Proportional to 16,221.34, 22,395 and 10,642.06

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Solution

The fourth proportional to 16,221.34, 22,395 and 10,642.06 is: 14,692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,221.34 : 22,395 = 10,642.06 : x
  2. Step 2: Convert to fraction form
    16,221.34/22,395 = 10,642.06/x
  3. Step 3: Cross multiply
    16,221.34x = 22,395 × 10,642.06
  4. Step 4: Simplify right side
    16,221.34x = 238,328,933.70
  5. Step 5: Solve for x
    x = 238,328,933.70/16,221.34
  6. Step 6: Final answer
    x = 14,692.31

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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.