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Finding the Fourth Proportional to 14,491.70, 21,737.55 and 7,097.30

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Solution

The fourth proportional to 14,491.70, 21,737.55 and 7,097.30 is: 10,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.70 : 21,737.55 = 7,097.30 : x
  2. Step 2: Convert to fraction form
    14,491.70/21,737.55 = 7,097.30/x
  3. Step 3: Cross multiply
    14,491.70x = 21,737.55 × 7,097.30
  4. Step 4: Simplify right side
    14,491.70x = 154,277,913.62
  5. Step 5: Solve for x
    x = 154,277,913.62/14,491.70
  6. Step 6: Final answer
    x = 10,645.95

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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.