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Finding the Fourth Proportional to 16,597.96, 24,896.26 and 4,117.71

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Solution

The fourth proportional to 16,597.96, 24,896.26 and 4,117.71 is: 6,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,597.96 : 24,896.26 = 4,117.71 : x
  2. Step 2: Convert to fraction form
    16,597.96/24,896.26 = 4,117.71/x
  3. Step 3: Cross multiply
    16,597.96x = 24,896.26 × 4,117.71
  4. Step 4: Simplify right side
    16,597.96x = 102,515,607.25
  5. Step 5: Solve for x
    x = 102,515,607.25/16,597.96
  6. Step 6: Final answer
    x = 6,176.40

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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.