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Finding the Fourth Proportional to 21,014.65, 29,000.34 and 11,583.21

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Solution

The fourth proportional to 21,014.65, 29,000.34 and 11,583.21 is: 15,984.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,014.65 : 29,000.34 = 11,583.21 : x
  2. Step 2: Convert to fraction form
    21,014.65/29,000.34 = 11,583.21/x
  3. Step 3: Cross multiply
    21,014.65x = 29,000.34 × 11,583.21
  4. Step 4: Simplify right side
    21,014.65x = 335,917,028.29
  5. Step 5: Solve for x
    x = 335,917,028.29/21,014.65
  6. Step 6: Final answer
    x = 15,984.90

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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.