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Finding the Fourth Proportional to 16,136.40, 22,262 and 11,897.54

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Solution

The fourth proportional to 16,136.40, 22,262 and 11,897.54 is: 16,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136.40 : 22,262 = 11,897.54 : x
  2. Step 2: Convert to fraction form
    16,136.40/22,262 = 11,897.54/x
  3. Step 3: Cross multiply
    16,136.40x = 22,262 × 11,897.54
  4. Step 4: Simplify right side
    16,136.40x = 264,863,035.48
  5. Step 5: Solve for x
    x = 264,863,035.48/16,136.40
  6. Step 6: Final answer
    x = 16,414.01

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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.