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Finding the Fourth Proportional to 21,538.80, 29,732.64 and 20,193.68

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Solution

The fourth proportional to 21,538.80, 29,732.64 and 20,193.68 is: 27,875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.80 : 29,732.64 = 20,193.68 : x
  2. Step 2: Convert to fraction form
    21,538.80/29,732.64 = 20,193.68/x
  3. Step 3: Cross multiply
    21,538.80x = 29,732.64 × 20,193.68
  4. Step 4: Simplify right side
    21,538.80x = 600,411,417.72
  5. Step 5: Solve for x
    x = 600,411,417.72/21,538.80
  6. Step 6: Final answer
    x = 27,875.81

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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.