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Finding the Fourth Proportional to 23,012.12, 34,525.43 and 8,220.71

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Solution

The fourth proportional to 23,012.12, 34,525.43 and 8,220.71 is: 12,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,012.12 : 34,525.43 = 8,220.71 : x
  2. Step 2: Convert to fraction form
    23,012.12/34,525.43 = 8,220.71/x
  3. Step 3: Cross multiply
    23,012.12x = 34,525.43 × 8,220.71
  4. Step 4: Simplify right side
    23,012.12x = 283,823,547.66
  5. Step 5: Solve for x
    x = 283,823,547.66/23,012.12
  6. Step 6: Final answer
    x = 12,333.65

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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.