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Finding the Fourth Proportional to 24,122, 36,162.07 and 9,341.66

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Solution

The fourth proportional to 24,122, 36,162.07 and 9,341.66 is: 14,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,122 : 36,162.07 = 9,341.66 : x
  2. Step 2: Convert to fraction form
    24,122/36,162.07 = 9,341.66/x
  3. Step 3: Cross multiply
    24,122x = 36,162.07 × 9,341.66
  4. Step 4: Simplify right side
    24,122x = 337,813,762.84
  5. Step 5: Solve for x
    x = 337,813,762.84/24,122
  6. Step 6: Final answer
    x = 14,004.38

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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.