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Finding the Fourth Proportional to 24,515.74, 36,773.99 and 6,985.98

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Solution

The fourth proportional to 24,515.74, 36,773.99 and 6,985.98 is: 10,479.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,515.74 : 36,773.99 = 6,985.98 : x
  2. Step 2: Convert to fraction form
    24,515.74/36,773.99 = 6,985.98/x
  3. Step 3: Cross multiply
    24,515.74x = 36,773.99 × 6,985.98
  4. Step 4: Simplify right side
    24,515.74x = 256,902,358.66
  5. Step 5: Solve for x
    x = 256,902,358.66/24,515.74
  6. Step 6: Final answer
    x = 10,479.08

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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.