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Finding the Fourth Proportional to 17,206.40, 25,809.60 and 6,125.60

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Solution

The fourth proportional to 17,206.40, 25,809.60 and 6,125.60 is: 9,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.40 : 25,809.60 = 6,125.60 : x
  2. Step 2: Convert to fraction form
    17,206.40/25,809.60 = 6,125.60/x
  3. Step 3: Cross multiply
    17,206.40x = 25,809.60 × 6,125.60
  4. Step 4: Simplify right side
    17,206.40x = 158,099,285.76
  5. Step 5: Solve for x
    x = 158,099,285.76/17,206.40
  6. Step 6: Final answer
    x = 9,188.40

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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.