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Finding the Fourth Proportional to 12,136.14, 16,746.03 and 6,830.82

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Solution

The fourth proportional to 12,136.14, 16,746.03 and 6,830.82 is: 9,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,136.14 : 16,746.03 = 6,830.82 : x
  2. Step 2: Convert to fraction form
    12,136.14/16,746.03 = 6,830.82/x
  3. Step 3: Cross multiply
    12,136.14x = 16,746.03 × 6,830.82
  4. Step 4: Simplify right side
    12,136.14x = 114,389,116.64
  5. Step 5: Solve for x
    x = 114,389,116.64/12,136.14
  6. Step 6: Final answer
    x = 9,425.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.