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Finding the Fourth Proportional to 23,137.98, 34,707 and 5,607.78

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Solution

The fourth proportional to 23,137.98, 34,707 and 5,607.78 is: 8,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,137.98 : 34,707 = 5,607.78 : x
  2. Step 2: Convert to fraction form
    23,137.98/34,707 = 5,607.78/x
  3. Step 3: Cross multiply
    23,137.98x = 34,707 × 5,607.78
  4. Step 4: Simplify right side
    23,137.98x = 194,629,220.46
  5. Step 5: Solve for x
    x = 194,629,220.46/23,137.98
  6. Step 6: Final answer
    x = 8,411.68

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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.