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Finding the Fourth Proportional to 10,689.24, 16,033.98 and 7,014.78

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Solution

The fourth proportional to 10,689.24, 16,033.98 and 7,014.78 is: 10,522.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.24 : 16,033.98 = 7,014.78 : x
  2. Step 2: Convert to fraction form
    10,689.24/16,033.98 = 7,014.78/x
  3. Step 3: Cross multiply
    10,689.24x = 16,033.98 × 7,014.78
  4. Step 4: Simplify right side
    10,689.24x = 112,474,842.22
  5. Step 5: Solve for x
    x = 112,474,842.22/10,689.24
  6. Step 6: Final answer
    x = 10,522.25

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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.