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Finding the Fourth Proportional to 25,712.64, 38,568.30 and 11,861.64

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Solution

The fourth proportional to 25,712.64, 38,568.30 and 11,861.64 is: 17,792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712.64 : 38,568.30 = 11,861.64 : x
  2. Step 2: Convert to fraction form
    25,712.64/38,568.30 = 11,861.64/x
  3. Step 3: Cross multiply
    25,712.64x = 38,568.30 × 11,861.64
  4. Step 4: Simplify right side
    25,712.64x = 457,483,290.01
  5. Step 5: Solve for x
    x = 457,483,290.01/25,712.64
  6. Step 6: Final answer
    x = 17,792.16

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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.