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Finding the Fourth Proportional to 14,594.40, 21,891.42 and 4,733.44

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Solution

The fourth proportional to 14,594.40, 21,891.42 and 4,733.44 is: 7,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.40 : 21,891.42 = 4,733.44 : x
  2. Step 2: Convert to fraction form
    14,594.40/21,891.42 = 4,733.44/x
  3. Step 3: Cross multiply
    14,594.40x = 21,891.42 × 4,733.44
  4. Step 4: Simplify right side
    14,594.40x = 103,621,723.08
  5. Step 5: Solve for x
    x = 103,621,723.08/14,594.40
  6. Step 6: Final answer
    x = 7,100.10

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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.