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Finding the Fourth Proportional to 20,946.72, 31,403.40 and 14,352.72

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Solution

The fourth proportional to 20,946.72, 31,403.40 and 14,352.72 is: 21,517.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,946.72 : 31,403.40 = 14,352.72 : x
  2. Step 2: Convert to fraction form
    20,946.72/31,403.40 = 14,352.72/x
  3. Step 3: Cross multiply
    20,946.72x = 31,403.40 × 14,352.72
  4. Step 4: Simplify right side
    20,946.72x = 450,724,207.25
  5. Step 5: Solve for x
    x = 450,724,207.25/20,946.72
  6. Step 6: Final answer
    x = 21,517.65

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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.