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Finding the Fourth Proportional to 13,667.42, 20,508.42 and 5,875.76

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Solution

The fourth proportional to 13,667.42, 20,508.42 and 5,875.76 is: 8,816.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,667.42 : 20,508.42 = 5,875.76 : x
  2. Step 2: Convert to fraction form
    13,667.42/20,508.42 = 5,875.76/x
  3. Step 3: Cross multiply
    13,667.42x = 20,508.42 × 5,875.76
  4. Step 4: Simplify right side
    13,667.42x = 120,502,553.90
  5. Step 5: Solve for x
    x = 120,502,553.90/13,667.42
  6. Step 6: Final answer
    x = 8,816.77

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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.