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Finding the Fourth Proportional to 24,013.60, 33,137.04 and 13,401.76

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Solution

The fourth proportional to 24,013.60, 33,137.04 and 13,401.76 is: 18,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,013.60 : 33,137.04 = 13,401.76 : x
  2. Step 2: Convert to fraction form
    24,013.60/33,137.04 = 13,401.76/x
  3. Step 3: Cross multiply
    24,013.60x = 33,137.04 × 13,401.76
  4. Step 4: Simplify right side
    24,013.60x = 444,094,657.19
  5. Step 5: Solve for x
    x = 444,094,657.19/24,013.60
  6. Step 6: Final answer
    x = 18,493.46

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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.