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Finding the Fourth Proportional to 13,569.59, 18,729.74 and 8,264.36

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Solution

The fourth proportional to 13,569.59, 18,729.74 and 8,264.36 is: 11,407.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,569.59 : 18,729.74 = 8,264.36 : x
  2. Step 2: Convert to fraction form
    13,569.59/18,729.74 = 8,264.36/x
  3. Step 3: Cross multiply
    13,569.59x = 18,729.74 × 8,264.36
  4. Step 4: Simplify right side
    13,569.59x = 154,789,241.08
  5. Step 5: Solve for x
    x = 154,789,241.08/13,569.59
  6. Step 6: Final answer
    x = 11,407.07

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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.