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Finding the Fourth Proportional to 24,617.85, 36,929.34 and 7,977.21

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Solution

The fourth proportional to 24,617.85, 36,929.34 and 7,977.21 is: 11,966.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,617.85 : 36,929.34 = 7,977.21 : x
  2. Step 2: Convert to fraction form
    24,617.85/36,929.34 = 7,977.21/x
  3. Step 3: Cross multiply
    24,617.85x = 36,929.34 × 7,977.21
  4. Step 4: Simplify right side
    24,617.85x = 294,593,100.34
  5. Step 5: Solve for x
    x = 294,593,100.34/24,617.85
  6. Step 6: Final answer
    x = 11,966.65

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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.