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Finding the Fourth Proportional to 21,914.87, 32,847.63 and 10,798.01

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Solution

The fourth proportional to 21,914.87, 32,847.63 and 10,798.01 is: 16,184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,914.87 : 32,847.63 = 10,798.01 : x
  2. Step 2: Convert to fraction form
    21,914.87/32,847.63 = 10,798.01/x
  3. Step 3: Cross multiply
    21,914.87x = 32,847.63 × 10,798.01
  4. Step 4: Simplify right side
    21,914.87x = 354,689,037.22
  5. Step 5: Solve for x
    x = 354,689,037.22/21,914.87
  6. Step 6: Final answer
    x = 16,184.86

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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.