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Finding the Fourth Proportional to 14,575.68, 20,110.86 and 8,524.98

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Solution

The fourth proportional to 14,575.68, 20,110.86 and 8,524.98 is: 11,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575.68 : 20,110.86 = 8,524.98 : x
  2. Step 2: Convert to fraction form
    14,575.68/20,110.86 = 8,524.98/x
  3. Step 3: Cross multiply
    14,575.68x = 20,110.86 × 8,524.98
  4. Step 4: Simplify right side
    14,575.68x = 171,444,679.28
  5. Step 5: Solve for x
    x = 171,444,679.28/14,575.68
  6. Step 6: Final answer
    x = 11,762.38

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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.