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Finding the Fourth Proportional to 24,050.46, 33,188.49 and 13,440

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Solution

The fourth proportional to 24,050.46, 33,188.49 and 13,440 is: 18,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,050.46 : 33,188.49 = 13,440 : x
  2. Step 2: Convert to fraction form
    24,050.46/33,188.49 = 13,440/x
  3. Step 3: Cross multiply
    24,050.46x = 33,188.49 × 13,440
  4. Step 4: Simplify right side
    24,050.46x = 446,053,305.60
  5. Step 5: Solve for x
    x = 446,053,305.60/24,050.46
  6. Step 6: Final answer
    x = 18,546.56

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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.