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Finding the Fourth Proportional to 14,562.16, 21,847.86 and 5,201.98

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Solution

The fourth proportional to 14,562.16, 21,847.86 and 5,201.98 is: 7,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.16 : 21,847.86 = 5,201.98 : x
  2. Step 2: Convert to fraction form
    14,562.16/21,847.86 = 5,201.98/x
  3. Step 3: Cross multiply
    14,562.16x = 21,847.86 × 5,201.98
  4. Step 4: Simplify right side
    14,562.16x = 113,652,076.14
  5. Step 5: Solve for x
    x = 113,652,076.14/14,562.16
  6. Step 6: Final answer
    x = 7,804.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.