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Finding the Fourth Proportional to 24,032.70, 33,161.85 and 13,420.98

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Solution

The fourth proportional to 24,032.70, 33,161.85 and 13,420.98 is: 18,519.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,032.70 : 33,161.85 = 13,420.98 : x
  2. Step 2: Convert to fraction form
    24,032.70/33,161.85 = 13,420.98/x
  3. Step 3: Cross multiply
    24,032.70x = 33,161.85 × 13,420.98
  4. Step 4: Simplify right side
    24,032.70x = 445,064,525.61
  5. Step 5: Solve for x
    x = 445,064,525.61/24,032.70
  6. Step 6: Final answer
    x = 18,519.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.