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Finding the Fourth Proportional to 21,813.50, 32,699.43 and 7,012.01

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Solution

The fourth proportional to 21,813.50, 32,699.43 and 7,012.01 is: 10,511.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,813.50 : 32,699.43 = 7,012.01 : x
  2. Step 2: Convert to fraction form
    21,813.50/32,699.43 = 7,012.01/x
  3. Step 3: Cross multiply
    21,813.50x = 32,699.43 × 7,012.01
  4. Step 4: Simplify right side
    21,813.50x = 229,288,566.66
  5. Step 5: Solve for x
    x = 229,288,566.66/21,813.50
  6. Step 6: Final answer
    x = 10,511.32

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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.