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Finding the Fourth Proportional to 23,970.36, 35,928.54 and 11,473.14

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Solution

The fourth proportional to 23,970.36, 35,928.54 and 11,473.14 is: 17,196.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,970.36 : 35,928.54 = 11,473.14 : x
  2. Step 2: Convert to fraction form
    23,970.36/35,928.54 = 11,473.14/x
  3. Step 3: Cross multiply
    23,970.36x = 35,928.54 × 11,473.14
  4. Step 4: Simplify right side
    23,970.36x = 412,213,169.42
  5. Step 5: Solve for x
    x = 412,213,169.42/23,970.36
  6. Step 6: Final answer
    x = 17,196.79

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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.