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Finding the Fourth Proportional to 23,984.30, 35,961.08 and 9,954.01

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Solution

The fourth proportional to 23,984.30, 35,961.08 and 9,954.01 is: 14,924.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,984.30 : 35,961.08 = 9,954.01 : x
  2. Step 2: Convert to fraction form
    23,984.30/35,961.08 = 9,954.01/x
  3. Step 3: Cross multiply
    23,984.30x = 35,961.08 × 9,954.01
  4. Step 4: Simplify right side
    23,984.30x = 357,956,949.93
  5. Step 5: Solve for x
    x = 357,956,949.93/23,984.30
  6. Step 6: Final answer
    x = 14,924.64

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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.