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Finding the Fourth Proportional to 21,538.77, 32,345.06 and 11,697.27

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Solution

The fourth proportional to 21,538.77, 32,345.06 and 11,697.27 is: 17,565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,538.77 : 32,345.06 = 11,697.27 : x
  2. Step 2: Convert to fraction form
    21,538.77/32,345.06 = 11,697.27/x
  3. Step 3: Cross multiply
    21,538.77x = 32,345.06 × 11,697.27
  4. Step 4: Simplify right side
    21,538.77x = 378,348,899.99
  5. Step 5: Solve for x
    x = 378,348,899.99/21,538.77
  6. Step 6: Final answer
    x = 17,565.95

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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.