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Finding the Fourth Proportional to 14,451.57, 21,674.82 and 5,098.50

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Solution

The fourth proportional to 14,451.57, 21,674.82 and 5,098.50 is: 7,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,451.57 : 21,674.82 = 5,098.50 : x
  2. Step 2: Convert to fraction form
    14,451.57/21,674.82 = 5,098.50/x
  3. Step 3: Cross multiply
    14,451.57x = 21,674.82 × 5,098.50
  4. Step 4: Simplify right side
    14,451.57x = 110,509,069.77
  5. Step 5: Solve for x
    x = 110,509,069.77/14,451.57
  6. Step 6: Final answer
    x = 7,646.86

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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.