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Finding the Fourth Proportional to 14,321.34, 19,763.19 and 7,947.72

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Solution

The fourth proportional to 14,321.34, 19,763.19 and 7,947.72 is: 10,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.34 : 19,763.19 = 7,947.72 : x
  2. Step 2: Convert to fraction form
    14,321.34/19,763.19 = 7,947.72/x
  3. Step 3: Cross multiply
    14,321.34x = 19,763.19 × 7,947.72
  4. Step 4: Simplify right side
    14,321.34x = 157,072,300.43
  5. Step 5: Solve for x
    x = 157,072,300.43/14,321.34
  6. Step 6: Final answer
    x = 10,967.71

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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.