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Finding the Fourth Proportional to 12,297.28, 18,445.32 and 4,505.50

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Solution

The fourth proportional to 12,297.28, 18,445.32 and 4,505.50 is: 6,758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.28 : 18,445.32 = 4,505.50 : x
  2. Step 2: Convert to fraction form
    12,297.28/18,445.32 = 4,505.50/x
  3. Step 3: Cross multiply
    12,297.28x = 18,445.32 × 4,505.50
  4. Step 4: Simplify right side
    12,297.28x = 83,105,389.26
  5. Step 5: Solve for x
    x = 83,105,389.26/12,297.28
  6. Step 6: Final answer
    x = 6,758.03

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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.