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Finding the Fourth Proportional to 24,645.36, 36,971.10 and 9,650.54

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Solution

The fourth proportional to 24,645.36, 36,971.10 and 9,650.54 is: 14,477.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,645.36 : 36,971.10 = 9,650.54 : x
  2. Step 2: Convert to fraction form
    24,645.36/36,971.10 = 9,650.54/x
  3. Step 3: Cross multiply
    24,645.36x = 36,971.10 × 9,650.54
  4. Step 4: Simplify right side
    24,645.36x = 356,791,079.39
  5. Step 5: Solve for x
    x = 356,791,079.39/24,645.36
  6. Step 6: Final answer
    x = 14,477.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.