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Finding the Fourth Proportional to 13,900.83, 20,846.01 and 4,538.64

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Solution

The fourth proportional to 13,900.83, 20,846.01 and 4,538.64 is: 6,806.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.83 : 20,846.01 = 4,538.64 : x
  2. Step 2: Convert to fraction form
    13,900.83/20,846.01 = 4,538.64/x
  3. Step 3: Cross multiply
    13,900.83x = 20,846.01 × 4,538.64
  4. Step 4: Simplify right side
    13,900.83x = 94,612,534.83
  5. Step 5: Solve for x
    x = 94,612,534.83/13,900.83
  6. Step 6: Final answer
    x = 6,806.25

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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.