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Finding the Fourth Proportional to 13,858.72, 20,773.56 and 6,457.08

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Solution

The fourth proportional to 13,858.72, 20,773.56 and 6,457.08 is: 9,678.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,858.72 : 20,773.56 = 6,457.08 : x
  2. Step 2: Convert to fraction form
    13,858.72/20,773.56 = 6,457.08/x
  3. Step 3: Cross multiply
    13,858.72x = 20,773.56 × 6,457.08
  4. Step 4: Simplify right side
    13,858.72x = 134,136,434.94
  5. Step 5: Solve for x
    x = 134,136,434.94/13,858.72
  6. Step 6: Final answer
    x = 9,678.85

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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.