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Finding the Fourth Proportional to 27,222.16, 40,829.52 and 7,497.88

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Solution

The fourth proportional to 27,222.16, 40,829.52 and 7,497.88 is: 11,245.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,222.16 : 40,829.52 = 7,497.88 : x
  2. Step 2: Convert to fraction form
    27,222.16/40,829.52 = 7,497.88/x
  3. Step 3: Cross multiply
    27,222.16x = 40,829.52 × 7,497.88
  4. Step 4: Simplify right side
    27,222.16x = 306,134,841.42
  5. Step 5: Solve for x
    x = 306,134,841.42/27,222.16
  6. Step 6: Final answer
    x = 11,245.80

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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.