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Finding the Fourth Proportional to 25,627.17, 38,440.53 and 8,097

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Solution

The fourth proportional to 25,627.17, 38,440.53 and 8,097 is: 12,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,627.17 : 38,440.53 = 8,097 : x
  2. Step 2: Convert to fraction form
    25,627.17/38,440.53 = 8,097/x
  3. Step 3: Cross multiply
    25,627.17x = 38,440.53 × 8,097
  4. Step 4: Simplify right side
    25,627.17x = 311,252,971.41
  5. Step 5: Solve for x
    x = 311,252,971.41/25,627.17
  6. Step 6: Final answer
    x = 12,145.43

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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.