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Finding the Fourth Proportional to 26,130.84, 39,200.74 and 8,605.64

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Solution

The fourth proportional to 26,130.84, 39,200.74 and 8,605.64 is: 12,909.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,130.84 : 39,200.74 = 8,605.64 : x
  2. Step 2: Convert to fraction form
    26,130.84/39,200.74 = 8,605.64/x
  3. Step 3: Cross multiply
    26,130.84x = 39,200.74 × 8,605.64
  4. Step 4: Simplify right side
    26,130.84x = 337,347,456.17
  5. Step 5: Solve for x
    x = 337,347,456.17/26,130.84
  6. Step 6: Final answer
    x = 12,909.94

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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.