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Finding the Fourth Proportional to 15,773.49, 23,659.72 and 6,410.75

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Solution

The fourth proportional to 15,773.49, 23,659.72 and 6,410.75 is: 9,615.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,773.49 : 23,659.72 = 6,410.75 : x
  2. Step 2: Convert to fraction form
    15,773.49/23,659.72 = 6,410.75/x
  3. Step 3: Cross multiply
    15,773.49x = 23,659.72 × 6,410.75
  4. Step 4: Simplify right side
    15,773.49x = 151,676,415.66
  5. Step 5: Solve for x
    x = 151,676,415.66/15,773.49
  6. Step 6: Final answer
    x = 9,615.91

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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.