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Finding the Fourth Proportional to 23,783.72, 35,675.58 and 9,923

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Solution

The fourth proportional to 23,783.72, 35,675.58 and 9,923 is: 14,884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.72 : 35,675.58 = 9,923 : x
  2. Step 2: Convert to fraction form
    23,783.72/35,675.58 = 9,923/x
  3. Step 3: Cross multiply
    23,783.72x = 35,675.58 × 9,923
  4. Step 4: Simplify right side
    23,783.72x = 354,008,780.34
  5. Step 5: Solve for x
    x = 354,008,780.34/23,783.72
  6. Step 6: Final answer
    x = 14,884.50

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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.