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Finding the Fourth Proportional to 14,757.46, 22,142.70 and 7,735.80

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Solution

The fourth proportional to 14,757.46, 22,142.70 and 7,735.80 is: 11,607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.46 : 22,142.70 = 7,735.80 : x
  2. Step 2: Convert to fraction form
    14,757.46/22,142.70 = 7,735.80/x
  3. Step 3: Cross multiply
    14,757.46x = 22,142.70 × 7,735.80
  4. Step 4: Simplify right side
    14,757.46x = 171,291,498.66
  5. Step 5: Solve for x
    x = 171,291,498.66/14,757.46
  6. Step 6: Final answer
    x = 11,607.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.