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Finding the Fourth Proportional to 17,657.19, 26,485.74 and 5,978.61

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Solution

The fourth proportional to 17,657.19, 26,485.74 and 5,978.61 is: 8,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.19 : 26,485.74 = 5,978.61 : x
  2. Step 2: Convert to fraction form
    17,657.19/26,485.74 = 5,978.61/x
  3. Step 3: Cross multiply
    17,657.19x = 26,485.74 × 5,978.61
  4. Step 4: Simplify right side
    17,657.19x = 158,347,910.02
  5. Step 5: Solve for x
    x = 158,347,910.02/17,657.19
  6. Step 6: Final answer
    x = 8,967.90

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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.