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Finding the Fourth Proportional to 19,316.24, 28,986.54 and 8,222.91

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Solution

The fourth proportional to 19,316.24, 28,986.54 and 8,222.91 is: 12,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,316.24 : 28,986.54 = 8,222.91 : x
  2. Step 2: Convert to fraction form
    19,316.24/28,986.54 = 8,222.91/x
  3. Step 3: Cross multiply
    19,316.24x = 28,986.54 × 8,222.91
  4. Step 4: Simplify right side
    19,316.24x = 238,353,570.10
  5. Step 5: Solve for x
    x = 238,353,570.10/19,316.24
  6. Step 6: Final answer
    x = 12,339.54

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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.