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Finding the Fourth Proportional to 18,638.16, 25,719.48 and 11,562

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Solution

The fourth proportional to 18,638.16, 25,719.48 and 11,562 is: 15,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,638.16 : 25,719.48 = 11,562 : x
  2. Step 2: Convert to fraction form
    18,638.16/25,719.48 = 11,562/x
  3. Step 3: Cross multiply
    18,638.16x = 25,719.48 × 11,562
  4. Step 4: Simplify right side
    18,638.16x = 297,368,627.76
  5. Step 5: Solve for x
    x = 297,368,627.76/18,638.16
  6. Step 6: Final answer
    x = 15,954.83

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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.