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Finding the Fourth Proportional to 23,783, 35,674.50 and 9,932

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Solution

The fourth proportional to 23,783, 35,674.50 and 9,932 is: 14,898

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783 : 35,674.50 = 9,932 : x
  2. Step 2: Convert to fraction form
    23,783/35,674.50 = 9,932/x
  3. Step 3: Cross multiply
    23,783x = 35,674.50 × 9,932
  4. Step 4: Simplify right side
    23,783x = 354,319,134
  5. Step 5: Solve for x
    x = 354,319,134/23,783
  6. Step 6: Final answer
    x = 14,898

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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.