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Finding the Fourth Proportional to 13,701.96, 20,552.94 and 3,313.71

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Solution

The fourth proportional to 13,701.96, 20,552.94 and 3,313.71 is: 4,970.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701.96 : 20,552.94 = 3,313.71 : x
  2. Step 2: Convert to fraction form
    13,701.96/20,552.94 = 3,313.71/x
  3. Step 3: Cross multiply
    13,701.96x = 20,552.94 × 3,313.71
  4. Step 4: Simplify right side
    13,701.96x = 68,106,482.81
  5. Step 5: Solve for x
    x = 68,106,482.81/13,701.96
  6. Step 6: Final answer
    x = 4,970.57

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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.