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Finding the Fourth Proportional to 21,761.24, 30,035.34 and 12,335

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Solution

The fourth proportional to 21,761.24, 30,035.34 and 12,335 is: 17,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,761.24 : 30,035.34 = 12,335 : x
  2. Step 2: Convert to fraction form
    21,761.24/30,035.34 = 12,335/x
  3. Step 3: Cross multiply
    21,761.24x = 30,035.34 × 12,335
  4. Step 4: Simplify right side
    21,761.24x = 370,485,918.90
  5. Step 5: Solve for x
    x = 370,485,918.90/21,761.24
  6. Step 6: Final answer
    x = 17,025.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.