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Finding the Fourth Proportional to 20,953.07, 31,431.50 and 6,913.14

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Solution

The fourth proportional to 20,953.07, 31,431.50 and 6,913.14 is: 10,370.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,953.07 : 31,431.50 = 6,913.14 : x
  2. Step 2: Convert to fraction form
    20,953.07/31,431.50 = 6,913.14/x
  3. Step 3: Cross multiply
    20,953.07x = 31,431.50 × 6,913.14
  4. Step 4: Simplify right side
    20,953.07x = 217,290,259.32
  5. Step 5: Solve for x
    x = 217,290,259.32/20,953.07
  6. Step 6: Final answer
    x = 10,370.33

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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.