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Finding the Fourth Proportional to 14,234.58, 19,644.18 and 8,265.84

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Solution

The fourth proportional to 14,234.58, 19,644.18 and 8,265.84 is: 11,407.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,234.58 : 19,644.18 = 8,265.84 : x
  2. Step 2: Convert to fraction form
    14,234.58/19,644.18 = 8,265.84/x
  3. Step 3: Cross multiply
    14,234.58x = 19,644.18 × 8,265.84
  4. Step 4: Simplify right side
    14,234.58x = 162,375,648.81
  5. Step 5: Solve for x
    x = 162,375,648.81/14,234.58
  6. Step 6: Final answer
    x = 11,407.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.