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Finding the Fourth Proportional to 21,881.45, 32,813.92 and 7,086.40

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Solution

The fourth proportional to 21,881.45, 32,813.92 and 7,086.40 is: 10,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881.45 : 32,813.92 = 7,086.40 : x
  2. Step 2: Convert to fraction form
    21,881.45/32,813.92 = 7,086.40/x
  3. Step 3: Cross multiply
    21,881.45x = 32,813.92 × 7,086.40
  4. Step 4: Simplify right side
    21,881.45x = 232,532,489.51
  5. Step 5: Solve for x
    x = 232,532,489.51/21,881.45
  6. Step 6: Final answer
    x = 10,626.92

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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.