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Finding the Fourth Proportional to 13,264.21, 18,304.14 and 7,295.50

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Solution

The fourth proportional to 13,264.21, 18,304.14 and 7,295.50 is: 10,067.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.21 : 18,304.14 = 7,295.50 : x
  2. Step 2: Convert to fraction form
    13,264.21/18,304.14 = 7,295.50/x
  3. Step 3: Cross multiply
    13,264.21x = 18,304.14 × 7,295.50
  4. Step 4: Simplify right side
    13,264.21x = 133,537,853.37
  5. Step 5: Solve for x
    x = 133,537,853.37/13,264.21
  6. Step 6: Final answer
    x = 10,067.53

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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.