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Finding the Fourth Proportional to 22,253.50, 30,709.83 and 12,827.53

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Solution

The fourth proportional to 22,253.50, 30,709.83 and 12,827.53 is: 17,701.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,253.50 : 30,709.83 = 12,827.53 : x
  2. Step 2: Convert to fraction form
    22,253.50/30,709.83 = 12,827.53/x
  3. Step 3: Cross multiply
    22,253.50x = 30,709.83 × 12,827.53
  4. Step 4: Simplify right side
    22,253.50x = 393,931,265.62
  5. Step 5: Solve for x
    x = 393,931,265.62/22,253.50
  6. Step 6: Final answer
    x = 17,701.99

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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.