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Finding the Fourth Proportional to 14,497.14, 21,738.69 and 7,092.93

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Solution

The fourth proportional to 14,497.14, 21,738.69 and 7,092.93 is: 10,635.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.14 : 21,738.69 = 7,092.93 : x
  2. Step 2: Convert to fraction form
    14,497.14/21,738.69 = 7,092.93/x
  3. Step 3: Cross multiply
    14,497.14x = 21,738.69 × 7,092.93
  4. Step 4: Simplify right side
    14,497.14x = 154,191,006.46
  5. Step 5: Solve for x
    x = 154,191,006.46/14,497.14
  6. Step 6: Final answer
    x = 10,635.96

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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.