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Finding the Fourth Proportional to 13,401.69, 20,102.55 and 4,631.82

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Solution

The fourth proportional to 13,401.69, 20,102.55 and 4,631.82 is: 6,947.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,401.69 : 20,102.55 = 4,631.82 : x
  2. Step 2: Convert to fraction form
    13,401.69/20,102.55 = 4,631.82/x
  3. Step 3: Cross multiply
    13,401.69x = 20,102.55 × 4,631.82
  4. Step 4: Simplify right side
    13,401.69x = 93,111,393.14
  5. Step 5: Solve for x
    x = 93,111,393.14/13,401.69
  6. Step 6: Final answer
    x = 6,947.74

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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.