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Finding the Fourth Proportional to 13,256.96, 18,289.36 and 8,544

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Solution

The fourth proportional to 13,256.96, 18,289.36 and 8,544 is: 11,787.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.96 : 18,289.36 = 8,544 : x
  2. Step 2: Convert to fraction form
    13,256.96/18,289.36 = 8,544/x
  3. Step 3: Cross multiply
    13,256.96x = 18,289.36 × 8,544
  4. Step 4: Simplify right side
    13,256.96x = 156,264,291.84
  5. Step 5: Solve for x
    x = 156,264,291.84/13,256.96
  6. Step 6: Final answer
    x = 11,787.34

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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.