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Finding the Fourth Proportional to 20,803.12, 31,210.14 and 7,477.46

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Solution

The fourth proportional to 20,803.12, 31,210.14 and 7,477.46 is: 11,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803.12 : 31,210.14 = 7,477.46 : x
  2. Step 2: Convert to fraction form
    20,803.12/31,210.14 = 7,477.46/x
  3. Step 3: Cross multiply
    20,803.12x = 31,210.14 × 7,477.46
  4. Step 4: Simplify right side
    20,803.12x = 233,372,573.44
  5. Step 5: Solve for x
    x = 233,372,573.44/20,803.12
  6. Step 6: Final answer
    x = 11,218.15

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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.