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Finding the Fourth Proportional to 13,699.38, 20,449.96 and 12,038.64

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Solution

The fourth proportional to 13,699.38, 20,449.96 and 12,038.64 is: 17,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,699.38 : 20,449.96 = 12,038.64 : x
  2. Step 2: Convert to fraction form
    13,699.38/20,449.96 = 12,038.64/x
  3. Step 3: Cross multiply
    13,699.38x = 20,449.96 × 12,038.64
  4. Step 4: Simplify right side
    13,699.38x = 246,189,706.45
  5. Step 5: Solve for x
    x = 246,189,706.45/13,699.38
  6. Step 6: Final answer
    x = 17,970.86

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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.