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Finding the Fourth Proportional to 21,995.84, 32,999.36 and 7,205.76

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Solution

The fourth proportional to 21,995.84, 32,999.36 and 7,205.76 is: 10,810.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,995.84 : 32,999.36 = 7,205.76 : x
  2. Step 2: Convert to fraction form
    21,995.84/32,999.36 = 7,205.76/x
  3. Step 3: Cross multiply
    21,995.84x = 32,999.36 × 7,205.76
  4. Step 4: Simplify right side
    21,995.84x = 237,785,468.31
  5. Step 5: Solve for x
    x = 237,785,468.31/21,995.84
  6. Step 6: Final answer
    x = 10,810.47

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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.