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Finding the Fourth Proportional to 13,637.96, 20,457.18 and 4,277.78

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Solution

The fourth proportional to 13,637.96, 20,457.18 and 4,277.78 is: 6,416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.96 : 20,457.18 = 4,277.78 : x
  2. Step 2: Convert to fraction form
    13,637.96/20,457.18 = 4,277.78/x
  3. Step 3: Cross multiply
    13,637.96x = 20,457.18 × 4,277.78
  4. Step 4: Simplify right side
    13,637.96x = 87,511,213.17
  5. Step 5: Solve for x
    x = 87,511,213.17/13,637.96
  6. Step 6: Final answer
    x = 6,416.74

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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.