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Finding the Fourth Proportional to 26,558.48, 39,838.20 and 8,090

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Solution

The fourth proportional to 26,558.48, 39,838.20 and 8,090 is: 12,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,558.48 : 39,838.20 = 8,090 : x
  2. Step 2: Convert to fraction form
    26,558.48/39,838.20 = 8,090/x
  3. Step 3: Cross multiply
    26,558.48x = 39,838.20 × 8,090
  4. Step 4: Simplify right side
    26,558.48x = 322,291,038
  5. Step 5: Solve for x
    x = 322,291,038/26,558.48
  6. Step 6: Final answer
    x = 12,135.15

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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.