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Finding the Fourth Proportional to 25,662.84, 38,530.05 and 13,193.43

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Solution

The fourth proportional to 25,662.84, 38,530.05 and 13,193.43 is: 19,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,662.84 : 38,530.05 = 13,193.43 : x
  2. Step 2: Convert to fraction form
    25,662.84/38,530.05 = 13,193.43/x
  3. Step 3: Cross multiply
    25,662.84x = 38,530.05 × 13,193.43
  4. Step 4: Simplify right side
    25,662.84x = 508,343,517.57
  5. Step 5: Solve for x
    x = 508,343,517.57/25,662.84
  6. Step 6: Final answer
    x = 19,808.54

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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.