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Finding the Fourth Proportional to 14,868.34, 22,302.49 and 8,204.52

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Solution

The fourth proportional to 14,868.34, 22,302.49 and 8,204.52 is: 12,306.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,868.34 : 22,302.49 = 8,204.52 : x
  2. Step 2: Convert to fraction form
    14,868.34/22,302.49 = 8,204.52/x
  3. Step 3: Cross multiply
    14,868.34x = 22,302.49 × 8,204.52
  4. Step 4: Simplify right side
    14,868.34x = 182,981,225.25
  5. Step 5: Solve for x
    x = 182,981,225.25/14,868.34
  6. Step 6: Final answer
    x = 12,306.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.