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Finding the Fourth Proportional to 13,931.57, 20,897.49 and 3,543.32

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Solution

The fourth proportional to 13,931.57, 20,897.49 and 3,543.32 is: 5,315.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,931.57 : 20,897.49 = 3,543.32 : x
  2. Step 2: Convert to fraction form
    13,931.57/20,897.49 = 3,543.32/x
  3. Step 3: Cross multiply
    13,931.57x = 20,897.49 × 3,543.32
  4. Step 4: Simplify right side
    13,931.57x = 74,046,494.27
  5. Step 5: Solve for x
    x = 74,046,494.27/13,931.57
  6. Step 6: Final answer
    x = 5,315.01

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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.