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Finding the Fourth Proportional to 20,818, 31,224.70 and 5,235.63

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Solution

The fourth proportional to 20,818, 31,224.70 and 5,235.63 is: 7,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,818 : 31,224.70 = 5,235.63 : x
  2. Step 2: Convert to fraction form
    20,818/31,224.70 = 5,235.63/x
  3. Step 3: Cross multiply
    20,818x = 31,224.70 × 5,235.63
  4. Step 4: Simplify right side
    20,818x = 163,480,976.06
  5. Step 5: Solve for x
    x = 163,480,976.06/20,818
  6. Step 6: Final answer
    x = 7,852.87

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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.