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Finding the Fourth Proportional to 14,013.94, 19,339.49 and 7,640.58

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Solution

The fourth proportional to 14,013.94, 19,339.49 and 7,640.58 is: 10,544.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,013.94 : 19,339.49 = 7,640.58 : x
  2. Step 2: Convert to fraction form
    14,013.94/19,339.49 = 7,640.58/x
  3. Step 3: Cross multiply
    14,013.94x = 19,339.49 × 7,640.58
  4. Step 4: Simplify right side
    14,013.94x = 147,764,920.50
  5. Step 5: Solve for x
    x = 147,764,920.50/14,013.94
  6. Step 6: Final answer
    x = 10,544.14

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