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Finding the Fourth Proportional to 13,256.30, 19,841.18 and 9,745.38

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Solution

The fourth proportional to 13,256.30, 19,841.18 and 9,745.38 is: 14,586.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.30 : 19,841.18 = 9,745.38 : x
  2. Step 2: Convert to fraction form
    13,256.30/19,841.18 = 9,745.38/x
  3. Step 3: Cross multiply
    13,256.30x = 19,841.18 × 9,745.38
  4. Step 4: Simplify right side
    13,256.30x = 193,359,770.43
  5. Step 5: Solve for x
    x = 193,359,770.43/13,256.30
  6. Step 6: Final answer
    x = 14,586.26

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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.