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Finding the Fourth Proportional to 20,798.41, 31,152.42 and 12,902.86

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Solution

The fourth proportional to 20,798.41, 31,152.42 and 12,902.86 is: 19,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,798.41 : 31,152.42 = 12,902.86 : x
  2. Step 2: Convert to fraction form
    20,798.41/31,152.42 = 12,902.86/x
  3. Step 3: Cross multiply
    20,798.41x = 31,152.42 × 12,902.86
  4. Step 4: Simplify right side
    20,798.41x = 401,955,313.92
  5. Step 5: Solve for x
    x = 401,955,313.92/20,798.41
  6. Step 6: Final answer
    x = 19,326.25

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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.