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Finding the Fourth Proportional to 21,152.61, 31,736.25 and 6,361.20

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Solution

The fourth proportional to 21,152.61, 31,736.25 and 6,361.20 is: 9,544.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.61 : 31,736.25 = 6,361.20 : x
  2. Step 2: Convert to fraction form
    21,152.61/31,736.25 = 6,361.20/x
  3. Step 3: Cross multiply
    21,152.61x = 31,736.25 × 6,361.20
  4. Step 4: Simplify right side
    21,152.61x = 201,880,633.50
  5. Step 5: Solve for x
    x = 201,880,633.50/21,152.61
  6. Step 6: Final answer
    x = 9,544.01

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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.