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Finding the Fourth Proportional to 24,494.68, 36,731.64 and 8,703.66

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Solution

The fourth proportional to 24,494.68, 36,731.64 and 8,703.66 is: 13,051.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.68 : 36,731.64 = 8,703.66 : x
  2. Step 2: Convert to fraction form
    24,494.68/36,731.64 = 8,703.66/x
  3. Step 3: Cross multiply
    24,494.68x = 36,731.64 × 8,703.66
  4. Step 4: Simplify right side
    24,494.68x = 319,699,705.80
  5. Step 5: Solve for x
    x = 319,699,705.80/24,494.68
  6. Step 6: Final answer
    x = 13,051.80

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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.