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Finding the Fourth Proportional to 26,538.51, 39,808.17 and 6,816.63

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Solution

The fourth proportional to 26,538.51, 39,808.17 and 6,816.63 is: 10,225.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,538.51 : 39,808.17 = 6,816.63 : x
  2. Step 2: Convert to fraction form
    26,538.51/39,808.17 = 6,816.63/x
  3. Step 3: Cross multiply
    26,538.51x = 39,808.17 × 6,816.63
  4. Step 4: Simplify right side
    26,538.51x = 271,357,565.87
  5. Step 5: Solve for x
    x = 271,357,565.87/26,538.51
  6. Step 6: Final answer
    x = 10,225.05

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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.