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Finding the Fourth Proportional to 13,531.64, 20,298.78 and 3,671

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Solution

The fourth proportional to 13,531.64, 20,298.78 and 3,671 is: 5,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531.64 : 20,298.78 = 3,671 : x
  2. Step 2: Convert to fraction form
    13,531.64/20,298.78 = 3,671/x
  3. Step 3: Cross multiply
    13,531.64x = 20,298.78 × 3,671
  4. Step 4: Simplify right side
    13,531.64x = 74,516,821.38
  5. Step 5: Solve for x
    x = 74,516,821.38/13,531.64
  6. Step 6: Final answer
    x = 5,506.86

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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.