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Finding the Fourth Proportional to 23,193.36, 34,782.12 and 7,607.40

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Solution

The fourth proportional to 23,193.36, 34,782.12 and 7,607.40 is: 11,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,193.36 : 34,782.12 = 7,607.40 : x
  2. Step 2: Convert to fraction form
    23,193.36/34,782.12 = 7,607.40/x
  3. Step 3: Cross multiply
    23,193.36x = 34,782.12 × 7,607.40
  4. Step 4: Simplify right side
    23,193.36x = 264,601,499.69
  5. Step 5: Solve for x
    x = 264,601,499.69/23,193.36
  6. Step 6: Final answer
    x = 11,408.50

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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.