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Finding the Fourth Proportional to 21,876.84, 32,813.40 and 13,105.32

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Solution

The fourth proportional to 21,876.84, 32,813.40 and 13,105.32 is: 19,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.84 : 32,813.40 = 13,105.32 : x
  2. Step 2: Convert to fraction form
    21,876.84/32,813.40 = 13,105.32/x
  3. Step 3: Cross multiply
    21,876.84x = 32,813.40 × 13,105.32
  4. Step 4: Simplify right side
    21,876.84x = 430,030,107.29
  5. Step 5: Solve for x
    x = 430,030,107.29/21,876.84
  6. Step 6: Final answer
    x = 19,656.87

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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.