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Finding the Fourth Proportional to 13,295.79, 19,943.37 and 11,538

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Solution

The fourth proportional to 13,295.79, 19,943.37 and 11,538 is: 17,306.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,295.79 : 19,943.37 = 11,538 : x
  2. Step 2: Convert to fraction form
    13,295.79/19,943.37 = 11,538/x
  3. Step 3: Cross multiply
    13,295.79x = 19,943.37 × 11,538
  4. Step 4: Simplify right side
    13,295.79x = 230,106,603.06
  5. Step 5: Solve for x
    x = 230,106,603.06/13,295.79
  6. Step 6: Final answer
    x = 17,306.73

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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.