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Finding the Fourth Proportional to 13,661.71, 20,492.76 and 3,800.77

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Solution

The fourth proportional to 13,661.71, 20,492.76 and 3,800.77 is: 5,701.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.71 : 20,492.76 = 3,800.77 : x
  2. Step 2: Convert to fraction form
    13,661.71/20,492.76 = 3,800.77/x
  3. Step 3: Cross multiply
    13,661.71x = 20,492.76 × 3,800.77
  4. Step 4: Simplify right side
    13,661.71x = 77,888,267.43
  5. Step 5: Solve for x
    x = 77,888,267.43/13,661.71
  6. Step 6: Final answer
    x = 5,701.21

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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.