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Finding the Fourth Proportional to 13,364.29, 20,061.87 and 7,821.64

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Solution

The fourth proportional to 13,364.29, 20,061.87 and 7,821.64 is: 11,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,364.29 : 20,061.87 = 7,821.64 : x
  2. Step 2: Convert to fraction form
    13,364.29/20,061.87 = 7,821.64/x
  3. Step 3: Cross multiply
    13,364.29x = 20,061.87 × 7,821.64
  4. Step 4: Simplify right side
    13,364.29x = 156,916,724.87
  5. Step 5: Solve for x
    x = 156,916,724.87/13,364.29
  6. Step 6: Final answer
    x = 11,741.49

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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.