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Finding the Fourth Proportional to 22,331.50, 30,817.59 and 13,952.86

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Solution

The fourth proportional to 22,331.50, 30,817.59 and 13,952.86 is: 19,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,331.50 : 30,817.59 = 13,952.86 : x
  2. Step 2: Convert to fraction form
    22,331.50/30,817.59 = 13,952.86/x
  3. Step 3: Cross multiply
    22,331.50x = 30,817.59 × 13,952.86
  4. Step 4: Simplify right side
    22,331.50x = 429,993,518.81
  5. Step 5: Solve for x
    x = 429,993,518.81/22,331.50
  6. Step 6: Final answer
    x = 19,255.02

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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.