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Finding the Fourth Proportional to 19,065.68, 26,311.20 and 10,682

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Solution

The fourth proportional to 19,065.68, 26,311.20 and 10,682 is: 14,741.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,065.68 : 26,311.20 = 10,682 : x
  2. Step 2: Convert to fraction form
    19,065.68/26,311.20 = 10,682/x
  3. Step 3: Cross multiply
    19,065.68x = 26,311.20 × 10,682
  4. Step 4: Simplify right side
    19,065.68x = 281,056,238.40
  5. Step 5: Solve for x
    x = 281,056,238.40/19,065.68
  6. Step 6: Final answer
    x = 14,741.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.