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Finding the Fourth Proportional to 14,311.83, 19,749.36 and 7,938.19

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Solution

The fourth proportional to 14,311.83, 19,749.36 and 7,938.19 is: 10,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.83 : 19,749.36 = 7,938.19 : x
  2. Step 2: Convert to fraction form
    14,311.83/19,749.36 = 7,938.19/x
  3. Step 3: Cross multiply
    14,311.83x = 19,749.36 × 7,938.19
  4. Step 4: Simplify right side
    14,311.83x = 156,774,172.06
  5. Step 5: Solve for x
    x = 156,774,172.06/14,311.83
  6. Step 6: Final answer
    x = 10,954.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.