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Finding the Fourth Proportional to 26,492.45, 39,744.14 and 7,773.08

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Solution

The fourth proportional to 26,492.45, 39,744.14 and 7,773.08 is: 11,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,492.45 : 39,744.14 = 7,773.08 : x
  2. Step 2: Convert to fraction form
    26,492.45/39,744.14 = 7,773.08/x
  3. Step 3: Cross multiply
    26,492.45x = 39,744.14 × 7,773.08
  4. Step 4: Simplify right side
    26,492.45x = 308,934,142.17
  5. Step 5: Solve for x
    x = 308,934,142.17/26,492.45
  6. Step 6: Final answer
    x = 11,661.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.