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Finding the Fourth Proportional to 16,101.84, 22,221.90 and 9,817.86

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Solution

The fourth proportional to 16,101.84, 22,221.90 and 9,817.86 is: 13,549.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.84 : 22,221.90 = 9,817.86 : x
  2. Step 2: Convert to fraction form
    16,101.84/22,221.90 = 9,817.86/x
  3. Step 3: Cross multiply
    16,101.84x = 22,221.90 × 9,817.86
  4. Step 4: Simplify right side
    16,101.84x = 218,171,503.13
  5. Step 5: Solve for x
    x = 218,171,503.13/16,101.84
  6. Step 6: Final answer
    x = 13,549.48

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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.