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Finding the Fourth Proportional to 12,830.20, 19,214.70 and 6,235.20

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Solution

The fourth proportional to 12,830.20, 19,214.70 and 6,235.20 is: 9,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.20 : 19,214.70 = 6,235.20 : x
  2. Step 2: Convert to fraction form
    12,830.20/19,214.70 = 6,235.20/x
  3. Step 3: Cross multiply
    12,830.20x = 19,214.70 × 6,235.20
  4. Step 4: Simplify right side
    12,830.20x = 119,807,497.44
  5. Step 5: Solve for x
    x = 119,807,497.44/12,830.20
  6. Step 6: Final answer
    x = 9,337.93

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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.