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Finding the Fourth Proportional to 13,538.60, 18,680.98 and 7,570.31

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Solution

The fourth proportional to 13,538.60, 18,680.98 and 7,570.31 is: 10,445.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.60 : 18,680.98 = 7,570.31 : x
  2. Step 2: Convert to fraction form
    13,538.60/18,680.98 = 7,570.31/x
  3. Step 3: Cross multiply
    13,538.60x = 18,680.98 × 7,570.31
  4. Step 4: Simplify right side
    13,538.60x = 141,420,771.85
  5. Step 5: Solve for x
    x = 141,420,771.85/13,538.60
  6. Step 6: Final answer
    x = 10,445.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.