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Finding the Fourth Proportional to 28,147.74, 42,222.12 and 9,424.28

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Solution

The fourth proportional to 28,147.74, 42,222.12 and 9,424.28 is: 14,136.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,147.74 : 42,222.12 = 9,424.28 : x
  2. Step 2: Convert to fraction form
    28,147.74/42,222.12 = 9,424.28/x
  3. Step 3: Cross multiply
    28,147.74x = 42,222.12 × 9,424.28
  4. Step 4: Simplify right side
    28,147.74x = 397,913,081.07
  5. Step 5: Solve for x
    x = 397,913,081.07/28,147.74
  6. Step 6: Final answer
    x = 14,136.59

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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.