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Finding the Fourth Proportional to 13,538.54, 18,680.78 and 7,570.26

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Solution

The fourth proportional to 13,538.54, 18,680.78 and 7,570.26 is: 10,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.54 : 18,680.78 = 7,570.26 : x
  2. Step 2: Convert to fraction form
    13,538.54/18,680.78 = 7,570.26/x
  3. Step 3: Cross multiply
    13,538.54x = 18,680.78 × 7,570.26
  4. Step 4: Simplify right side
    13,538.54x = 141,418,337.95
  5. Step 5: Solve for x
    x = 141,418,337.95/13,538.54
  6. Step 6: Final answer
    x = 10,445.61

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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.