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Finding the Fourth Proportional to 20,884.72, 31,328.18 and 5,302.48

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Solution

The fourth proportional to 20,884.72, 31,328.18 and 5,302.48 is: 7,954.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884.72 : 31,328.18 = 5,302.48 : x
  2. Step 2: Convert to fraction form
    20,884.72/31,328.18 = 5,302.48/x
  3. Step 3: Cross multiply
    20,884.72x = 31,328.18 × 5,302.48
  4. Step 4: Simplify right side
    20,884.72x = 166,117,047.89
  5. Step 5: Solve for x
    x = 166,117,047.89/20,884.72
  6. Step 6: Final answer
    x = 7,954.00

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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.