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Finding the Fourth Proportional to 14,497.96, 21,756.68 and 5,137.94

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Solution

The fourth proportional to 14,497.96, 21,756.68 and 5,137.94 is: 7,710.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,497.96 : 21,756.68 = 5,137.94 : x
  2. Step 2: Convert to fraction form
    14,497.96/21,756.68 = 5,137.94/x
  3. Step 3: Cross multiply
    14,497.96x = 21,756.68 × 5,137.94
  4. Step 4: Simplify right side
    14,497.96x = 111,784,516.44
  5. Step 5: Solve for x
    x = 111,784,516.44/14,497.96
  6. Step 6: Final answer
    x = 7,710.36

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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.