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Finding the Fourth Proportional to 22,284.86, 30,754.95 and 12,727.70

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Solution

The fourth proportional to 22,284.86, 30,754.95 and 12,727.70 is: 17,565.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.86 : 30,754.95 = 12,727.70 : x
  2. Step 2: Convert to fraction form
    22,284.86/30,754.95 = 12,727.70/x
  3. Step 3: Cross multiply
    22,284.86x = 30,754.95 × 12,727.70
  4. Step 4: Simplify right side
    22,284.86x = 391,439,777.12
  5. Step 5: Solve for x
    x = 391,439,777.12/22,284.86
  6. Step 6: Final answer
    x = 17,565.28

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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.