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Finding the Fourth Proportional to 16,159.60, 22,297.17 and 9,784.90

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Solution

The fourth proportional to 16,159.60, 22,297.17 and 9,784.90 is: 13,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,159.60 : 22,297.17 = 9,784.90 : x
  2. Step 2: Convert to fraction form
    16,159.60/22,297.17 = 9,784.90/x
  3. Step 3: Cross multiply
    16,159.60x = 22,297.17 × 9,784.90
  4. Step 4: Simplify right side
    16,159.60x = 218,175,578.73
  5. Step 5: Solve for x
    x = 218,175,578.73/16,159.60
  6. Step 6: Final answer
    x = 13,501.30

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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.