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Finding the Fourth Proportional to 20,967.54, 31,447.71 and 6,176.34

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Solution

The fourth proportional to 20,967.54, 31,447.71 and 6,176.34 is: 9,263.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,967.54 : 31,447.71 = 6,176.34 : x
  2. Step 2: Convert to fraction form
    20,967.54/31,447.71 = 6,176.34/x
  3. Step 3: Cross multiply
    20,967.54x = 31,447.71 × 6,176.34
  4. Step 4: Simplify right side
    20,967.54x = 194,231,749.18
  5. Step 5: Solve for x
    x = 194,231,749.18/20,967.54
  6. Step 6: Final answer
    x = 9,263.45

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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.