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Finding the Fourth Proportional to 22,646.88, 33,944.40 and 8,784

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Solution

The fourth proportional to 22,646.88, 33,944.40 and 8,784 is: 13,165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,646.88 : 33,944.40 = 8,784 : x
  2. Step 2: Convert to fraction form
    22,646.88/33,944.40 = 8,784/x
  3. Step 3: Cross multiply
    22,646.88x = 33,944.40 × 8,784
  4. Step 4: Simplify right side
    22,646.88x = 298,167,609.60
  5. Step 5: Solve for x
    x = 298,167,609.60/22,646.88
  6. Step 6: Final answer
    x = 13,165.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.