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Finding the Fourth Proportional to 16,156.74, 22,296.78 and 9,781.98

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Solution

The fourth proportional to 16,156.74, 22,296.78 and 9,781.98 is: 13,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156.74 : 22,296.78 = 9,781.98 : x
  2. Step 2: Convert to fraction form
    16,156.74/22,296.78 = 9,781.98/x
  3. Step 3: Cross multiply
    16,156.74x = 22,296.78 × 9,781.98
  4. Step 4: Simplify right side
    16,156.74x = 218,106,656.02
  5. Step 5: Solve for x
    x = 218,106,656.02/16,156.74
  6. Step 6: Final answer
    x = 13,499.42

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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.