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Finding the Fourth Proportional to 14,494.14, 21,734.19 and 7,089.93

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Solution

The fourth proportional to 14,494.14, 21,734.19 and 7,089.93 is: 10,631.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.14 : 21,734.19 = 7,089.93 : x
  2. Step 2: Convert to fraction form
    14,494.14/21,734.19 = 7,089.93/x
  3. Step 3: Cross multiply
    14,494.14x = 21,734.19 × 7,089.93
  4. Step 4: Simplify right side
    14,494.14x = 154,093,885.71
  5. Step 5: Solve for x
    x = 154,093,885.71/14,494.14
  6. Step 6: Final answer
    x = 10,631.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.