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Finding the Fourth Proportional to 13,810.24, 20,667.90 and 8,543.20

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Solution

The fourth proportional to 13,810.24, 20,667.90 and 8,543.20 is: 12,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.24 : 20,667.90 = 8,543.20 : x
  2. Step 2: Convert to fraction form
    13,810.24/20,667.90 = 8,543.20/x
  3. Step 3: Cross multiply
    13,810.24x = 20,667.90 × 8,543.20
  4. Step 4: Simplify right side
    13,810.24x = 176,570,003.28
  5. Step 5: Solve for x
    x = 176,570,003.28/13,810.24
  6. Step 6: Final answer
    x = 12,785.44

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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.