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Finding the Fourth Proportional to 13,476.64, 20,202.54 and 12,369.64

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Solution

The fourth proportional to 13,476.64, 20,202.54 and 12,369.64 is: 18,543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,476.64 : 20,202.54 = 12,369.64 : x
  2. Step 2: Convert to fraction form
    13,476.64/20,202.54 = 12,369.64/x
  3. Step 3: Cross multiply
    13,476.64x = 20,202.54 × 12,369.64
  4. Step 4: Simplify right side
    13,476.64x = 249,898,146.89
  5. Step 5: Solve for x
    x = 249,898,146.89/13,476.64
  6. Step 6: Final answer
    x = 18,543.06

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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.