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Finding the Fourth Proportional to 19,523.72, 29,213.65 and 13,807.81

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Solution

The fourth proportional to 19,523.72, 29,213.65 and 13,807.81 is: 20,660.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,523.72 : 29,213.65 = 13,807.81 : x
  2. Step 2: Convert to fraction form
    19,523.72/29,213.65 = 13,807.81/x
  3. Step 3: Cross multiply
    19,523.72x = 29,213.65 × 13,807.81
  4. Step 4: Simplify right side
    19,523.72x = 403,376,421.05
  5. Step 5: Solve for x
    x = 403,376,421.05/19,523.72
  6. Step 6: Final answer
    x = 20,660.84

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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.