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Finding the Fourth Proportional to 13,900.71, 20,853.35 and 4,538.03

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Solution

The fourth proportional to 13,900.71, 20,853.35 and 4,538.03 is: 6,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.71 : 20,853.35 = 4,538.03 : x
  2. Step 2: Convert to fraction form
    13,900.71/20,853.35 = 4,538.03/x
  3. Step 3: Cross multiply
    13,900.71x = 20,853.35 × 4,538.03
  4. Step 4: Simplify right side
    13,900.71x = 94,633,017.96
  5. Step 5: Solve for x
    x = 94,633,017.96/13,900.71
  6. Step 6: Final answer
    x = 6,807.78

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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.