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Finding the Fourth Proportional to 26,427.57, 39,615.94 and 9,783.08

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Solution

The fourth proportional to 26,427.57, 39,615.94 and 9,783.08 is: 14,665.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,427.57 : 39,615.94 = 9,783.08 : x
  2. Step 2: Convert to fraction form
    26,427.57/39,615.94 = 9,783.08/x
  3. Step 3: Cross multiply
    26,427.57x = 39,615.94 × 9,783.08
  4. Step 4: Simplify right side
    26,427.57x = 387,565,861.38
  5. Step 5: Solve for x
    x = 387,565,861.38/26,427.57
  6. Step 6: Final answer
    x = 14,665.21

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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.