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Finding the Fourth Proportional to 20,506.31, 30,728.72 and 14,263.11

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Solution

The fourth proportional to 20,506.31, 30,728.72 and 14,263.11 is: 21,373.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.31 : 30,728.72 = 14,263.11 : x
  2. Step 2: Convert to fraction form
    20,506.31/30,728.72 = 14,263.11/x
  3. Step 3: Cross multiply
    20,506.31x = 30,728.72 × 14,263.11
  4. Step 4: Simplify right side
    20,506.31x = 438,287,155.37
  5. Step 5: Solve for x
    x = 438,287,155.37/20,506.31
  6. Step 6: Final answer
    x = 21,373.28

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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.