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Finding the Fourth Proportional to 24,823.50, 37,235.25 and 10,797.54

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Solution

The fourth proportional to 24,823.50, 37,235.25 and 10,797.54 is: 16,196.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,823.50 : 37,235.25 = 10,797.54 : x
  2. Step 2: Convert to fraction form
    24,823.50/37,235.25 = 10,797.54/x
  3. Step 3: Cross multiply
    24,823.50x = 37,235.25 × 10,797.54
  4. Step 4: Simplify right side
    24,823.50x = 402,049,101.29
  5. Step 5: Solve for x
    x = 402,049,101.29/24,823.50
  6. Step 6: Final answer
    x = 16,196.31

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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.