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Finding the Fourth Proportional to 17,096.40, 25,615.80 and 8,312.40

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Solution

The fourth proportional to 17,096.40, 25,615.80 and 8,312.40 is: 12,454.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096.40 : 25,615.80 = 8,312.40 : x
  2. Step 2: Convert to fraction form
    17,096.40/25,615.80 = 8,312.40/x
  3. Step 3: Cross multiply
    17,096.40x = 25,615.80 × 8,312.40
  4. Step 4: Simplify right side
    17,096.40x = 212,928,775.92
  5. Step 5: Solve for x
    x = 212,928,775.92/17,096.40
  6. Step 6: Final answer
    x = 12,454.60

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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.