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Finding the Fourth Proportional to 13,689.72, 20,521.38 and 7,026.24

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Solution

The fourth proportional to 13,689.72, 20,521.38 and 7,026.24 is: 10,532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.72 : 20,521.38 = 7,026.24 : x
  2. Step 2: Convert to fraction form
    13,689.72/20,521.38 = 7,026.24/x
  3. Step 3: Cross multiply
    13,689.72x = 20,521.38 × 7,026.24
  4. Step 4: Simplify right side
    13,689.72x = 144,188,141.01
  5. Step 5: Solve for x
    x = 144,188,141.01/13,689.72
  6. Step 6: Final answer
    x = 10,532.59

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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.