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Finding the Fourth Proportional to 20,032.71, 27,646.14 and 11,536.03

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Solution

The fourth proportional to 20,032.71, 27,646.14 and 11,536.03 is: 15,920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.71 : 27,646.14 = 11,536.03 : x
  2. Step 2: Convert to fraction form
    20,032.71/27,646.14 = 11,536.03/x
  3. Step 3: Cross multiply
    20,032.71x = 27,646.14 × 11,536.03
  4. Step 4: Simplify right side
    20,032.71x = 318,926,700.42
  5. Step 5: Solve for x
    x = 318,926,700.42/20,032.71
  6. Step 6: Final answer
    x = 15,920.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.