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Finding the Fourth Proportional to 12,967.70, 19,454.63 and 4,202.62

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Solution

The fourth proportional to 12,967.70, 19,454.63 and 4,202.62 is: 6,304.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.70 : 19,454.63 = 4,202.62 : x
  2. Step 2: Convert to fraction form
    12,967.70/19,454.63 = 4,202.62/x
  3. Step 3: Cross multiply
    12,967.70x = 19,454.63 × 4,202.62
  4. Step 4: Simplify right side
    12,967.70x = 81,760,417.13
  5. Step 5: Solve for x
    x = 81,760,417.13/12,967.70
  6. Step 6: Final answer
    x = 6,304.93

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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.