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Finding the Fourth Proportional to 10,596.82, 14,690.57 and 10,035.10

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Solution

The fourth proportional to 10,596.82, 14,690.57 and 10,035.10 is: 13,911.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.82 : 14,690.57 = 10,035.10 : x
  2. Step 2: Convert to fraction form
    10,596.82/14,690.57 = 10,035.10/x
  3. Step 3: Cross multiply
    10,596.82x = 14,690.57 × 10,035.10
  4. Step 4: Simplify right side
    10,596.82x = 147,421,339.01
  5. Step 5: Solve for x
    x = 147,421,339.01/10,596.82
  6. Step 6: Final answer
    x = 13,911.85

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.