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Finding the Fourth Proportional to 23,807, 32,853.66 and 13,198.26

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Solution

The fourth proportional to 23,807, 32,853.66 and 13,198.26 is: 18,213.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,807 : 32,853.66 = 13,198.26 : x
  2. Step 2: Convert to fraction form
    23,807/32,853.66 = 13,198.26/x
  3. Step 3: Cross multiply
    23,807x = 32,853.66 × 13,198.26
  4. Step 4: Simplify right side
    23,807x = 433,611,146.63
  5. Step 5: Solve for x
    x = 433,611,146.63/23,807
  6. Step 6: Final answer
    x = 18,213.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.