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Finding the Fourth Proportional to 21,014.58, 29,000.12 and 11,583.30

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Solution

The fourth proportional to 21,014.58, 29,000.12 and 11,583.30 is: 15,984.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,014.58 : 29,000.12 = 11,583.30 : x
  2. Step 2: Convert to fraction form
    21,014.58/29,000.12 = 11,583.30/x
  3. Step 3: Cross multiply
    21,014.58x = 29,000.12 × 11,583.30
  4. Step 4: Simplify right side
    21,014.58x = 335,917,032.08
  5. Step 5: Solve for x
    x = 335,917,032.08/21,014.58
  6. Step 6: Final answer
    x = 15,984.95

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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.