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Finding the Fourth Proportional to 22,459.50, 30,968.49 and 16,784.71

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Solution

The fourth proportional to 22,459.50, 30,968.49 and 16,784.71 is: 23,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.50 : 30,968.49 = 16,784.71 : x
  2. Step 2: Convert to fraction form
    22,459.50/30,968.49 = 16,784.71/x
  3. Step 3: Cross multiply
    22,459.50x = 30,968.49 × 16,784.71
  4. Step 4: Simplify right side
    22,459.50x = 519,797,123.79
  5. Step 5: Solve for x
    x = 519,797,123.79/22,459.50
  6. Step 6: Final answer
    x = 23,143.75

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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.