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Finding the Fourth Proportional to 28,224.84, 42,343.74 and 9,504.43

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Solution

The fourth proportional to 28,224.84, 42,343.74 and 9,504.43 is: 14,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,224.84 : 42,343.74 = 9,504.43 : x
  2. Step 2: Convert to fraction form
    28,224.84/42,343.74 = 9,504.43/x
  3. Step 3: Cross multiply
    28,224.84x = 42,343.74 × 9,504.43
  4. Step 4: Simplify right side
    28,224.84x = 402,453,112.77
  5. Step 5: Solve for x
    x = 402,453,112.77/28,224.84
  6. Step 6: Final answer
    x = 14,258.83

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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.