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Finding the Fourth Proportional to 13,562.94, 20,288.24 and 12,733.50

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Solution

The fourth proportional to 13,562.94, 20,288.24 and 12,733.50 is: 19,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,562.94 : 20,288.24 = 12,733.50 : x
  2. Step 2: Convert to fraction form
    13,562.94/20,288.24 = 12,733.50/x
  3. Step 3: Cross multiply
    13,562.94x = 20,288.24 × 12,733.50
  4. Step 4: Simplify right side
    13,562.94x = 258,340,304.04
  5. Step 5: Solve for x
    x = 258,340,304.04/13,562.94
  6. Step 6: Final answer
    x = 19,047.52

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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.