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Finding the Fourth Proportional to 15,477.87, 23,205.16 and 7,577.94

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Solution

The fourth proportional to 15,477.87, 23,205.16 and 7,577.94 is: 11,361.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,477.87 : 23,205.16 = 7,577.94 : x
  2. Step 2: Convert to fraction form
    15,477.87/23,205.16 = 7,577.94/x
  3. Step 3: Cross multiply
    15,477.87x = 23,205.16 × 7,577.94
  4. Step 4: Simplify right side
    15,477.87x = 175,847,310.17
  5. Step 5: Solve for x
    x = 175,847,310.17/15,477.87
  6. Step 6: Final answer
    x = 11,361.21

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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.