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Finding the Fourth Proportional to 12,838.70, 19,226.58 and 10,603.85

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Solution

The fourth proportional to 12,838.70, 19,226.58 and 10,603.85 is: 15,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.70 : 19,226.58 = 10,603.85 : x
  2. Step 2: Convert to fraction form
    12,838.70/19,226.58 = 10,603.85/x
  3. Step 3: Cross multiply
    12,838.70x = 19,226.58 × 10,603.85
  4. Step 4: Simplify right side
    12,838.70x = 203,875,674.20
  5. Step 5: Solve for x
    x = 203,875,674.20/12,838.70
  6. Step 6: Final answer
    x = 15,879.78

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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.