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Finding the Fourth Proportional to 36,294.28, 54,406.86 and 11,653

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Solution

The fourth proportional to 36,294.28, 54,406.86 and 11,653 is: 17,468.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,294.28 : 54,406.86 = 11,653 : x
  2. Step 2: Convert to fraction form
    36,294.28/54,406.86 = 11,653/x
  3. Step 3: Cross multiply
    36,294.28x = 54,406.86 × 11,653
  4. Step 4: Simplify right side
    36,294.28x = 634,003,139.58
  5. Step 5: Solve for x
    x = 634,003,139.58/36,294.28
  6. Step 6: Final answer
    x = 17,468.40

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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.