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Finding the Fourth Proportional to 14,569.44, 21,854 and 4,181.20

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Solution

The fourth proportional to 14,569.44, 21,854 and 4,181.20 is: 6,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.44 : 21,854 = 4,181.20 : x
  2. Step 2: Convert to fraction form
    14,569.44/21,854 = 4,181.20/x
  3. Step 3: Cross multiply
    14,569.44x = 21,854 × 4,181.20
  4. Step 4: Simplify right side
    14,569.44x = 91,375,944.80
  5. Step 5: Solve for x
    x = 91,375,944.80/14,569.44
  6. Step 6: Final answer
    x = 6,271.75

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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.