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Finding the Fourth Proportional to 23,111.88, 34,675.24 and 16,026

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Solution

The fourth proportional to 23,111.88, 34,675.24 and 16,026 is: 24,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,111.88 : 34,675.24 = 16,026 : x
  2. Step 2: Convert to fraction form
    23,111.88/34,675.24 = 16,026/x
  3. Step 3: Cross multiply
    23,111.88x = 34,675.24 × 16,026
  4. Step 4: Simplify right side
    23,111.88x = 555,705,396.24
  5. Step 5: Solve for x
    x = 555,705,396.24/23,111.88
  6. Step 6: Final answer
    x = 24,044.15

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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.