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Finding the Fourth Proportional to 13,219.98, 19,802.97 and 7,379.70

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Solution

The fourth proportional to 13,219.98, 19,802.97 and 7,379.70 is: 11,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.98 : 19,802.97 = 7,379.70 : x
  2. Step 2: Convert to fraction form
    13,219.98/19,802.97 = 7,379.70/x
  3. Step 3: Cross multiply
    13,219.98x = 19,802.97 × 7,379.70
  4. Step 4: Simplify right side
    13,219.98x = 146,139,977.71
  5. Step 5: Solve for x
    x = 146,139,977.71/13,219.98
  6. Step 6: Final answer
    x = 11,054.48

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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.