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Finding the Fourth Proportional to 24,376.46, 33,642.86 and 14,028.00

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Solution

The fourth proportional to 24,376.46, 33,642.86 and 14,028.00 is: 19,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.46 : 33,642.86 = 14,028.00 : x
  2. Step 2: Convert to fraction form
    24,376.46/33,642.86 = 14,028.00/x
  3. Step 3: Cross multiply
    24,376.46x = 33,642.86 × 14,028.00
  4. Step 4: Simplify right side
    24,376.46x = 471,942,027.17
  5. Step 5: Solve for x
    x = 471,942,027.17/24,376.46
  6. Step 6: Final answer
    x = 19,360.56

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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.