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Finding the Fourth Proportional to 13,901.68, 20,852.59 and 3,513.44

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Solution

The fourth proportional to 13,901.68, 20,852.59 and 3,513.44 is: 5,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.68 : 20,852.59 = 3,513.44 : x
  2. Step 2: Convert to fraction form
    13,901.68/20,852.59 = 3,513.44/x
  3. Step 3: Cross multiply
    13,901.68x = 20,852.59 × 3,513.44
  4. Step 4: Simplify right side
    13,901.68x = 73,264,323.81
  5. Step 5: Solve for x
    x = 73,264,323.81/13,901.68
  6. Step 6: Final answer
    x = 5,270.18

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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.