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Finding the Fourth Proportional to 21,830.54, 32,745.80 and 10,137.38

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Solution

The fourth proportional to 21,830.54, 32,745.80 and 10,137.38 is: 15,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,830.54 : 32,745.80 = 10,137.38 : x
  2. Step 2: Convert to fraction form
    21,830.54/32,745.80 = 10,137.38/x
  3. Step 3: Cross multiply
    21,830.54x = 32,745.80 × 10,137.38
  4. Step 4: Simplify right side
    21,830.54x = 331,956,479.62
  5. Step 5: Solve for x
    x = 331,956,479.62/21,830.54
  6. Step 6: Final answer
    x = 15,206.06

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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.