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Finding the Fourth Proportional to 14,897.40, 20,557.60 and 8,183.94

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Solution

The fourth proportional to 14,897.40, 20,557.60 and 8,183.94 is: 11,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.40 : 20,557.60 = 8,183.94 : x
  2. Step 2: Convert to fraction form
    14,897.40/20,557.60 = 8,183.94/x
  3. Step 3: Cross multiply
    14,897.40x = 20,557.60 × 8,183.94
  4. Step 4: Simplify right side
    14,897.40x = 168,242,164.94
  5. Step 5: Solve for x
    x = 168,242,164.94/14,897.40
  6. Step 6: Final answer
    x = 11,293.39

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Why These Related Problems?

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