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Finding the Fourth Proportional to 13,773.24, 20,662.29 and 5,875.74

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Solution

The fourth proportional to 13,773.24, 20,662.29 and 5,875.74 is: 8,814.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.24 : 20,662.29 = 5,875.74 : x
  2. Step 2: Convert to fraction form
    13,773.24/20,662.29 = 5,875.74/x
  3. Step 3: Cross multiply
    13,773.24x = 20,662.29 × 5,875.74
  4. Step 4: Simplify right side
    13,773.24x = 121,406,243.84
  5. Step 5: Solve for x
    x = 121,406,243.84/13,773.24
  6. Step 6: Final answer
    x = 8,814.65

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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.