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Finding the Fourth Proportional to 14,777.84, 22,176.05 and 6,012.78

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Solution

The fourth proportional to 14,777.84, 22,176.05 and 6,012.78 is: 9,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,777.84 : 22,176.05 = 6,012.78 : x
  2. Step 2: Convert to fraction form
    14,777.84/22,176.05 = 6,012.78/x
  3. Step 3: Cross multiply
    14,777.84x = 22,176.05 × 6,012.78
  4. Step 4: Simplify right side
    14,777.84x = 133,339,679.86
  5. Step 5: Solve for x
    x = 133,339,679.86/14,777.84
  6. Step 6: Final answer
    x = 9,022.95

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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.