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Finding the Fourth Proportional to 23,511.81, 35,269.98 and 6,871.47

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Solution

The fourth proportional to 23,511.81, 35,269.98 and 6,871.47 is: 10,307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,511.81 : 35,269.98 = 6,871.47 : x
  2. Step 2: Convert to fraction form
    23,511.81/35,269.98 = 6,871.47/x
  3. Step 3: Cross multiply
    23,511.81x = 35,269.98 × 6,871.47
  4. Step 4: Simplify right side
    23,511.81x = 242,356,609.47
  5. Step 5: Solve for x
    x = 242,356,609.47/23,511.81
  6. Step 6: Final answer
    x = 10,307.87

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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.