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Finding the Fourth Proportional to 21,486.54, 32,222.06 and 7,442.76

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Solution

The fourth proportional to 21,486.54, 32,222.06 and 7,442.76 is: 11,161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,486.54 : 32,222.06 = 7,442.76 : x
  2. Step 2: Convert to fraction form
    21,486.54/32,222.06 = 7,442.76/x
  3. Step 3: Cross multiply
    21,486.54x = 32,222.06 × 7,442.76
  4. Step 4: Simplify right side
    21,486.54x = 239,821,059.29
  5. Step 5: Solve for x
    x = 239,821,059.29/21,486.54
  6. Step 6: Final answer
    x = 11,161.46

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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.