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Finding the Fourth Proportional to 13,627.36, 20,446.71 and 7,055.02

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Solution

The fourth proportional to 13,627.36, 20,446.71 and 7,055.02 is: 10,585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.36 : 20,446.71 = 7,055.02 : x
  2. Step 2: Convert to fraction form
    13,627.36/20,446.71 = 7,055.02/x
  3. Step 3: Cross multiply
    13,627.36x = 20,446.71 × 7,055.02
  4. Step 4: Simplify right side
    13,627.36x = 144,251,947.98
  5. Step 5: Solve for x
    x = 144,251,947.98/13,627.36
  6. Step 6: Final answer
    x = 10,585.47

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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.