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Finding the Fourth Proportional to 22,784, 31,443.14 and 13,355.60

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Solution

The fourth proportional to 22,784, 31,443.14 and 13,355.60 is: 18,431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784 : 31,443.14 = 13,355.60 : x
  2. Step 2: Convert to fraction form
    22,784/31,443.14 = 13,355.60/x
  3. Step 3: Cross multiply
    22,784x = 31,443.14 × 13,355.60
  4. Step 4: Simplify right side
    22,784x = 419,941,933.81
  5. Step 5: Solve for x
    x = 419,941,933.81/22,784
  6. Step 6: Final answer
    x = 18,431.44

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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.