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Finding the Fourth Proportional to 23,908.70, 32,991.69 and 13,835.14

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Solution

The fourth proportional to 23,908.70, 32,991.69 and 13,835.14 is: 19,091.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,908.70 : 32,991.69 = 13,835.14 : x
  2. Step 2: Convert to fraction form
    23,908.70/32,991.69 = 13,835.14/x
  3. Step 3: Cross multiply
    23,908.70x = 32,991.69 × 13,835.14
  4. Step 4: Simplify right side
    23,908.70x = 456,444,485.03
  5. Step 5: Solve for x
    x = 456,444,485.03/23,908.70
  6. Step 6: Final answer
    x = 19,091.15

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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.