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Finding the Fourth Proportional to 23,191.84, 34,780.56 and 7,606

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Solution

The fourth proportional to 23,191.84, 34,780.56 and 7,606 is: 11,406.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,191.84 : 34,780.56 = 7,606 : x
  2. Step 2: Convert to fraction form
    23,191.84/34,780.56 = 7,606/x
  3. Step 3: Cross multiply
    23,191.84x = 34,780.56 × 7,606
  4. Step 4: Simplify right side
    23,191.84x = 264,540,939.36
  5. Step 5: Solve for x
    x = 264,540,939.36/23,191.84
  6. Step 6: Final answer
    x = 11,406.64

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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.