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Finding the Fourth Proportional to 13,796.47, 19,034.19 and 9,260.26

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Solution

The fourth proportional to 13,796.47, 19,034.19 and 9,260.26 is: 12,775.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,796.47 : 19,034.19 = 9,260.26 : x
  2. Step 2: Convert to fraction form
    13,796.47/19,034.19 = 9,260.26/x
  3. Step 3: Cross multiply
    13,796.47x = 19,034.19 × 9,260.26
  4. Step 4: Simplify right side
    13,796.47x = 176,261,548.29
  5. Step 5: Solve for x
    x = 176,261,548.29/13,796.47
  6. Step 6: Final answer
    x = 12,775.84

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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.