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Finding the Fourth Proportional to 14,704.42, 22,051.98 and 4,841.50

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Solution

The fourth proportional to 14,704.42, 22,051.98 and 4,841.50 is: 7,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.42 : 22,051.98 = 4,841.50 : x
  2. Step 2: Convert to fraction form
    14,704.42/22,051.98 = 4,841.50/x
  3. Step 3: Cross multiply
    14,704.42x = 22,051.98 × 4,841.50
  4. Step 4: Simplify right side
    14,704.42x = 106,764,661.17
  5. Step 5: Solve for x
    x = 106,764,661.17/14,704.42
  6. Step 6: Final answer
    x = 7,260.72

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Why These Related Problems?

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