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Finding the Fourth Proportional to 22,852.71, 34,266.76 and 12,328.38

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Solution

The fourth proportional to 22,852.71, 34,266.76 and 12,328.38 is: 18,485.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,852.71 : 34,266.76 = 12,328.38 : x
  2. Step 2: Convert to fraction form
    22,852.71/34,266.76 = 12,328.38/x
  3. Step 3: Cross multiply
    22,852.71x = 34,266.76 × 12,328.38
  4. Step 4: Simplify right side
    22,852.71x = 422,453,607.83
  5. Step 5: Solve for x
    x = 422,453,607.83/22,852.71
  6. Step 6: Final answer
    x = 18,485.93

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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.