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Finding the Fourth Proportional to 13,148.70, 19,698.44 and 10,212.65

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Solution

The fourth proportional to 13,148.70, 19,698.44 and 10,212.65 is: 15,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148.70 : 19,698.44 = 10,212.65 : x
  2. Step 2: Convert to fraction form
    13,148.70/19,698.44 = 10,212.65/x
  3. Step 3: Cross multiply
    13,148.70x = 19,698.44 × 10,212.65
  4. Step 4: Simplify right side
    13,148.70x = 201,173,123.71
  5. Step 5: Solve for x
    x = 201,173,123.71/13,148.70
  6. Step 6: Final answer
    x = 15,299.85

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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.