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Finding the Fourth Proportional to 21,790.82, 32,686.54 and 6,208.45

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Solution

The fourth proportional to 21,790.82, 32,686.54 and 6,208.45 is: 9,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,790.82 : 32,686.54 = 6,208.45 : x
  2. Step 2: Convert to fraction form
    21,790.82/32,686.54 = 6,208.45/x
  3. Step 3: Cross multiply
    21,790.82x = 32,686.54 × 6,208.45
  4. Step 4: Simplify right side
    21,790.82x = 202,932,652.03
  5. Step 5: Solve for x
    x = 202,932,652.03/21,790.82
  6. Step 6: Final answer
    x = 9,312.76

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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.