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Finding the Fourth Proportional to 23,977.72, 35,965.26 and 7,337.74

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Solution

The fourth proportional to 23,977.72, 35,965.26 and 7,337.74 is: 11,006.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,977.72 : 35,965.26 = 7,337.74 : x
  2. Step 2: Convert to fraction form
    23,977.72/35,965.26 = 7,337.74/x
  3. Step 3: Cross multiply
    23,977.72x = 35,965.26 × 7,337.74
  4. Step 4: Simplify right side
    23,977.72x = 263,903,510.40
  5. Step 5: Solve for x
    x = 263,903,510.40/23,977.72
  6. Step 6: Final answer
    x = 11,006.20

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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.