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Finding the Fourth Proportional to 14,137.38, 21,187.62 and 7,897.14

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Solution

The fourth proportional to 14,137.38, 21,187.62 and 7,897.14 is: 11,835.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.38 : 21,187.62 = 7,897.14 : x
  2. Step 2: Convert to fraction form
    14,137.38/21,187.62 = 7,897.14/x
  3. Step 3: Cross multiply
    14,137.38x = 21,187.62 × 7,897.14
  4. Step 4: Simplify right side
    14,137.38x = 167,321,601.41
  5. Step 5: Solve for x
    x = 167,321,601.41/14,137.38
  6. Step 6: Final answer
    x = 11,835.40

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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.