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Finding the Fourth Proportional to 13,900.64, 20,848.21 and 6,503.11

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Solution

The fourth proportional to 13,900.64, 20,848.21 and 6,503.11 is: 9,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.64 : 20,848.21 = 6,503.11 : x
  2. Step 2: Convert to fraction form
    13,900.64/20,848.21 = 6,503.11/x
  3. Step 3: Cross multiply
    13,900.64x = 20,848.21 × 6,503.11
  4. Step 4: Simplify right side
    13,900.64x = 135,578,134.55
  5. Step 5: Solve for x
    x = 135,578,134.55/13,900.64
  6. Step 6: Final answer
    x = 9,753.38

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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.