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Finding the Fourth Proportional to 13,785.41, 20,671.62 and 9,630.11

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Solution

The fourth proportional to 13,785.41, 20,671.62 and 9,630.11 is: 14,440.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.41 : 20,671.62 = 9,630.11 : x
  2. Step 2: Convert to fraction form
    13,785.41/20,671.62 = 9,630.11/x
  3. Step 3: Cross multiply
    13,785.41x = 20,671.62 × 9,630.11
  4. Step 4: Simplify right side
    13,785.41x = 199,069,871.12
  5. Step 5: Solve for x
    x = 199,069,871.12/13,785.41
  6. Step 6: Final answer
    x = 14,440.63

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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.