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Finding the Fourth Proportional to 14,902.80, 22,349.34 and 6,136.98

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Solution

The fourth proportional to 14,902.80, 22,349.34 and 6,136.98 is: 9,203.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902.80 : 22,349.34 = 6,136.98 : x
  2. Step 2: Convert to fraction form
    14,902.80/22,349.34 = 6,136.98/x
  3. Step 3: Cross multiply
    14,902.80x = 22,349.34 × 6,136.98
  4. Step 4: Simplify right side
    14,902.80x = 137,157,452.59
  5. Step 5: Solve for x
    x = 137,157,452.59/14,902.80
  6. Step 6: Final answer
    x = 9,203.47

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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.