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Finding the Fourth Proportional to 13,401.59, 20,083.86 and 5,072.77

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Solution

The fourth proportional to 13,401.59, 20,083.86 and 5,072.77 is: 7,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.59 : 20,083.86 = 5,072.77 : x
  2. Step 2: Convert to fraction form
    13,401.59/20,083.86 = 5,072.77/x
  3. Step 3: Cross multiply
    13,401.59x = 20,083.86 × 5,072.77
  4. Step 4: Simplify right side
    13,401.59x = 101,880,752.28
  5. Step 5: Solve for x
    x = 101,880,752.28/13,401.59
  6. Step 6: Final answer
    x = 7,602.14

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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.