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Finding the Fourth Proportional to 18,638.48, 25,722.80 and 11,473

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Solution

The fourth proportional to 18,638.48, 25,722.80 and 11,473 is: 15,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,638.48 : 25,722.80 = 11,473 : x
  2. Step 2: Convert to fraction form
    18,638.48/25,722.80 = 11,473/x
  3. Step 3: Cross multiply
    18,638.48x = 25,722.80 × 11,473
  4. Step 4: Simplify right side
    18,638.48x = 295,117,684.40
  5. Step 5: Solve for x
    x = 295,117,684.40/18,638.48
  6. Step 6: Final answer
    x = 15,833.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.