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Finding the Fourth Proportional to 13,892.40, 20,823.12 and 6,498.72

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Solution

The fourth proportional to 13,892.40, 20,823.12 and 6,498.72 is: 9,740.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,892.40 : 20,823.12 = 6,498.72 : x
  2. Step 2: Convert to fraction form
    13,892.40/20,823.12 = 6,498.72/x
  3. Step 3: Cross multiply
    13,892.40x = 20,823.12 × 6,498.72
  4. Step 4: Simplify right side
    13,892.40x = 135,323,626.41
  5. Step 5: Solve for x
    x = 135,323,626.41/13,892.40
  6. Step 6: Final answer
    x = 9,740.84

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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.