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Finding the Fourth Proportional to 16,306.84, 22,502.10 and 9,235

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Solution

The fourth proportional to 16,306.84, 22,502.10 and 9,235 is: 12,743.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,306.84 : 22,502.10 = 9,235 : x
  2. Step 2: Convert to fraction form
    16,306.84/22,502.10 = 9,235/x
  3. Step 3: Cross multiply
    16,306.84x = 22,502.10 × 9,235
  4. Step 4: Simplify right side
    16,306.84x = 207,806,893.50
  5. Step 5: Solve for x
    x = 207,806,893.50/16,306.84
  6. Step 6: Final answer
    x = 12,743.54

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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.