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Finding the Fourth Proportional to 14,393.36, 21,590 and 8,233.04

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Solution

The fourth proportional to 14,393.36, 21,590 and 8,233.04 is: 12,349.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,393.36 : 21,590 = 8,233.04 : x
  2. Step 2: Convert to fraction form
    14,393.36/21,590 = 8,233.04/x
  3. Step 3: Cross multiply
    14,393.36x = 21,590 × 8,233.04
  4. Step 4: Simplify right side
    14,393.36x = 177,751,333.60
  5. Step 5: Solve for x
    x = 177,751,333.60/14,393.36
  6. Step 6: Final answer
    x = 12,349.54

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1.5x scale

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.