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Finding the Fourth Proportional to 20,741.30, 31,111.70 and 14,630.30

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Solution

The fourth proportional to 20,741.30, 31,111.70 and 14,630.30 is: 21,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,741.30 : 31,111.70 = 14,630.30 : x
  2. Step 2: Convert to fraction form
    20,741.30/31,111.70 = 14,630.30/x
  3. Step 3: Cross multiply
    20,741.30x = 31,111.70 × 14,630.30
  4. Step 4: Simplify right side
    20,741.30x = 455,173,504.51
  5. Step 5: Solve for x
    x = 455,173,504.51/20,741.30
  6. Step 6: Final answer
    x = 21,945.27

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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.