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Finding the Fourth Proportional to 24,102.56, 33,264.67 and 13,494.40

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Solution

The fourth proportional to 24,102.56, 33,264.67 and 13,494.40 is: 18,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.56 : 33,264.67 = 13,494.40 : x
  2. Step 2: Convert to fraction form
    24,102.56/33,264.67 = 13,494.40/x
  3. Step 3: Cross multiply
    24,102.56x = 33,264.67 × 13,494.40
  4. Step 4: Simplify right side
    24,102.56x = 448,886,762.85
  5. Step 5: Solve for x
    x = 448,886,762.85/24,102.56
  6. Step 6: Final answer
    x = 18,624.03

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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.