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Finding the Fourth Proportional to 25,814.68, 35,626.80 and 15,207.64

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Solution

The fourth proportional to 25,814.68, 35,626.80 and 15,207.64 is: 20,988.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,814.68 : 35,626.80 = 15,207.64 : x
  2. Step 2: Convert to fraction form
    25,814.68/35,626.80 = 15,207.64/x
  3. Step 3: Cross multiply
    25,814.68x = 35,626.80 × 15,207.64
  4. Step 4: Simplify right side
    25,814.68x = 541,799,548.75
  5. Step 5: Solve for x
    x = 541,799,548.75/25,814.68
  6. Step 6: Final answer
    x = 20,988.04

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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.