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Finding the Fourth Proportional to 13,503.72, 20,254.86 and 4,269

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Solution

The fourth proportional to 13,503.72, 20,254.86 and 4,269 is: 6,403.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.72 : 20,254.86 = 4,269 : x
  2. Step 2: Convert to fraction form
    13,503.72/20,254.86 = 4,269/x
  3. Step 3: Cross multiply
    13,503.72x = 20,254.86 × 4,269
  4. Step 4: Simplify right side
    13,503.72x = 86,467,997.34
  5. Step 5: Solve for x
    x = 86,467,997.34/13,503.72
  6. Step 6: Final answer
    x = 6,403.27

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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.