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Finding the Fourth Proportional to 26,236.16, 39,358.20 and 8,702

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Solution

The fourth proportional to 26,236.16, 39,358.20 and 8,702 is: 13,054.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,236.16 : 39,358.20 = 8,702 : x
  2. Step 2: Convert to fraction form
    26,236.16/39,358.20 = 8,702/x
  3. Step 3: Cross multiply
    26,236.16x = 39,358.20 × 8,702
  4. Step 4: Simplify right side
    26,236.16x = 342,495,056.40
  5. Step 5: Solve for x
    x = 342,495,056.40/26,236.16
  6. Step 6: Final answer
    x = 13,054.31

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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.