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Finding the Fourth Proportional to 23,932.98, 35,890.47 and 7,919.10

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Solution

The fourth proportional to 23,932.98, 35,890.47 and 7,919.10 is: 11,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,932.98 : 35,890.47 = 7,919.10 : x
  2. Step 2: Convert to fraction form
    23,932.98/35,890.47 = 7,919.10/x
  3. Step 3: Cross multiply
    23,932.98x = 35,890.47 × 7,919.10
  4. Step 4: Simplify right side
    23,932.98x = 284,220,220.98
  5. Step 5: Solve for x
    x = 284,220,220.98/23,932.98
  6. Step 6: Final answer
    x = 11,875.67

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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.