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Finding the Fourth Proportional to 14,720.78, 22,078.14 and 4,857.80

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Solution

The fourth proportional to 14,720.78, 22,078.14 and 4,857.80 is: 7,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,720.78 : 22,078.14 = 4,857.80 : x
  2. Step 2: Convert to fraction form
    14,720.78/22,078.14 = 4,857.80/x
  3. Step 3: Cross multiply
    14,720.78x = 22,078.14 × 4,857.80
  4. Step 4: Simplify right side
    14,720.78x = 107,251,188.49
  5. Step 5: Solve for x
    x = 107,251,188.49/14,720.78
  6. Step 6: Final answer
    x = 7,285.70

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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.