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Finding the Fourth Proportional to 24,647.48, 36,985.82 and 9,076.04

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Solution

The fourth proportional to 24,647.48, 36,985.82 and 9,076.04 is: 13,619.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,647.48 : 36,985.82 = 9,076.04 : x
  2. Step 2: Convert to fraction form
    24,647.48/36,985.82 = 9,076.04/x
  3. Step 3: Cross multiply
    24,647.48x = 36,985.82 × 9,076.04
  4. Step 4: Simplify right side
    24,647.48x = 335,684,781.75
  5. Step 5: Solve for x
    x = 335,684,781.75/24,647.48
  6. Step 6: Final answer
    x = 13,619.44

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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.