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Finding the Fourth Proportional to 21,837.51, 32,728.86 and 9,342.84

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Solution

The fourth proportional to 21,837.51, 32,728.86 and 9,342.84 is: 14,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,837.51 : 32,728.86 = 9,342.84 : x
  2. Step 2: Convert to fraction form
    21,837.51/32,728.86 = 9,342.84/x
  3. Step 3: Cross multiply
    21,837.51x = 32,728.86 × 9,342.84
  4. Step 4: Simplify right side
    21,837.51x = 305,780,502.36
  5. Step 5: Solve for x
    x = 305,780,502.36/21,837.51
  6. Step 6: Final answer
    x = 14,002.54

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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.