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Finding the Fourth Proportional to 14,704.78, 22,051.65 and 5,342.49

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Solution

The fourth proportional to 14,704.78, 22,051.65 and 5,342.49 is: 8,011.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.78 : 22,051.65 = 5,342.49 : x
  2. Step 2: Convert to fraction form
    14,704.78/22,051.65 = 5,342.49/x
  3. Step 3: Cross multiply
    14,704.78x = 22,051.65 × 5,342.49
  4. Step 4: Simplify right side
    14,704.78x = 117,810,719.61
  5. Step 5: Solve for x
    x = 117,810,719.61/14,704.78
  6. Step 6: Final answer
    x = 8,011.73

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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.