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Finding the Fourth Proportional to 24,669, 36,997.77 and 9,873.96

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Solution

The fourth proportional to 24,669, 36,997.77 and 9,873.96 is: 14,808.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,669 : 36,997.77 = 9,873.96 : x
  2. Step 2: Convert to fraction form
    24,669/36,997.77 = 9,873.96/x
  3. Step 3: Cross multiply
    24,669x = 36,997.77 × 9,873.96
  4. Step 4: Simplify right side
    24,669x = 365,314,501.07
  5. Step 5: Solve for x
    x = 365,314,501.07/24,669
  6. Step 6: Final answer
    x = 14,808.65

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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.