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Finding the Fourth Proportional to 14,778.84, 22,177.55 and 6,013.78

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Solution

The fourth proportional to 14,778.84, 22,177.55 and 6,013.78 is: 9,024.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.84 : 22,177.55 = 6,013.78 : x
  2. Step 2: Convert to fraction form
    14,778.84/22,177.55 = 6,013.78/x
  3. Step 3: Cross multiply
    14,778.84x = 22,177.55 × 6,013.78
  4. Step 4: Simplify right side
    14,778.84x = 133,370,906.64
  5. Step 5: Solve for x
    x = 133,370,906.64/14,778.84
  6. Step 6: Final answer
    x = 9,024.45

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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.