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Finding the Fourth Proportional to 26,972.79, 40,477.82 and 9,442.50

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Solution

The fourth proportional to 26,972.79, 40,477.82 and 9,442.50 is: 14,170.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,972.79 : 40,477.82 = 9,442.50 : x
  2. Step 2: Convert to fraction form
    26,972.79/40,477.82 = 9,442.50/x
  3. Step 3: Cross multiply
    26,972.79x = 40,477.82 × 9,442.50
  4. Step 4: Simplify right side
    26,972.79x = 382,211,768.14
  5. Step 5: Solve for x
    x = 382,211,768.14/26,972.79
  6. Step 6: Final answer
    x = 14,170.27

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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.