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Finding the Fourth Proportional to 26,459.60, 39,683.18 and 7,735.70

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Solution

The fourth proportional to 26,459.60, 39,683.18 and 7,735.70 is: 11,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,459.60 : 39,683.18 = 7,735.70 : x
  2. Step 2: Convert to fraction form
    26,459.60/39,683.18 = 7,735.70/x
  3. Step 3: Cross multiply
    26,459.60x = 39,683.18 × 7,735.70
  4. Step 4: Simplify right side
    26,459.60x = 306,977,294.07
  5. Step 5: Solve for x
    x = 306,977,294.07/26,459.60
  6. Step 6: Final answer
    x = 11,601.74

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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.