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Finding the Fourth Proportional to 13,232.71, 18,261.43 and 7,567.98

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Solution

The fourth proportional to 13,232.71, 18,261.43 and 7,567.98 is: 10,443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.71 : 18,261.43 = 7,567.98 : x
  2. Step 2: Convert to fraction form
    13,232.71/18,261.43 = 7,567.98/x
  3. Step 3: Cross multiply
    13,232.71x = 18,261.43 × 7,567.98
  4. Step 4: Simplify right side
    13,232.71x = 138,202,137.01
  5. Step 5: Solve for x
    x = 138,202,137.01/13,232.71
  6. Step 6: Final answer
    x = 10,443.98

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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.