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Finding the Fourth Proportional to 13,829.64, 20,638.08 and 12,353.28

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Solution

The fourth proportional to 13,829.64, 20,638.08 and 12,353.28 is: 18,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.64 : 20,638.08 = 12,353.28 : x
  2. Step 2: Convert to fraction form
    13,829.64/20,638.08 = 12,353.28/x
  3. Step 3: Cross multiply
    13,829.64x = 20,638.08 × 12,353.28
  4. Step 4: Simplify right side
    13,829.64x = 254,947,980.90
  5. Step 5: Solve for x
    x = 254,947,980.90/13,829.64
  6. Step 6: Final answer
    x = 18,434.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.