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Finding the Fourth Proportional to 13,713.36, 20,570.04 and 9,627.60

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Solution

The fourth proportional to 13,713.36, 20,570.04 and 9,627.60 is: 14,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.36 : 20,570.04 = 9,627.60 : x
  2. Step 2: Convert to fraction form
    13,713.36/20,570.04 = 9,627.60/x
  3. Step 3: Cross multiply
    13,713.36x = 20,570.04 × 9,627.60
  4. Step 4: Simplify right side
    13,713.36x = 198,040,117.10
  5. Step 5: Solve for x
    x = 198,040,117.10/13,713.36
  6. Step 6: Final answer
    x = 14,441.40

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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.