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Finding the Fourth Proportional to 14,561.60, 21,824.12 and 6,231.82

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Solution

The fourth proportional to 14,561.60, 21,824.12 and 6,231.82 is: 9,339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,561.60 : 21,824.12 = 6,231.82 : x
  2. Step 2: Convert to fraction form
    14,561.60/21,824.12 = 6,231.82/x
  3. Step 3: Cross multiply
    14,561.60x = 21,824.12 × 6,231.82
  4. Step 4: Simplify right side
    14,561.60x = 136,003,987.50
  5. Step 5: Solve for x
    x = 136,003,987.50/14,561.60
  6. Step 6: Final answer
    x = 9,339.91

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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.