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Finding the Fourth Proportional to 21,775.34, 30,049.08 and 12,823.22

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Solution

The fourth proportional to 21,775.34, 30,049.08 and 12,823.22 is: 17,695.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,775.34 : 30,049.08 = 12,823.22 : x
  2. Step 2: Convert to fraction form
    21,775.34/30,049.08 = 12,823.22/x
  3. Step 3: Cross multiply
    21,775.34x = 30,049.08 × 12,823.22
  4. Step 4: Simplify right side
    21,775.34x = 385,325,813.39
  5. Step 5: Solve for x
    x = 385,325,813.39/21,775.34
  6. Step 6: Final answer
    x = 17,695.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.