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Finding the Fourth Proportional to 26,431.59, 39,643.53 and 7,706.60

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Solution

The fourth proportional to 26,431.59, 39,643.53 and 7,706.60 is: 11,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,431.59 : 39,643.53 = 7,706.60 : x
  2. Step 2: Convert to fraction form
    26,431.59/39,643.53 = 7,706.60/x
  3. Step 3: Cross multiply
    26,431.59x = 39,643.53 × 7,706.60
  4. Step 4: Simplify right side
    26,431.59x = 305,516,828.30
  5. Step 5: Solve for x
    x = 305,516,828.30/26,431.59
  6. Step 6: Final answer
    x = 11,558.78

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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.