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Finding the Fourth Proportional to 15,361.87, 23,050.02 and 7,962.31

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Solution

The fourth proportional to 15,361.87, 23,050.02 and 7,962.31 is: 11,947.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,361.87 : 23,050.02 = 7,962.31 : x
  2. Step 2: Convert to fraction form
    15,361.87/23,050.02 = 7,962.31/x
  3. Step 3: Cross multiply
    15,361.87x = 23,050.02 × 7,962.31
  4. Step 4: Simplify right side
    15,361.87x = 183,531,404.75
  5. Step 5: Solve for x
    x = 183,531,404.75/15,361.87
  6. Step 6: Final answer
    x = 11,947.20

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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.