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Finding the Fourth Proportional to 23,362.24, 35,045.76 and 7,775.68

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Solution

The fourth proportional to 23,362.24, 35,045.76 and 7,775.68 is: 11,664.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,362.24 : 35,045.76 = 7,775.68 : x
  2. Step 2: Convert to fraction form
    23,362.24/35,045.76 = 7,775.68/x
  3. Step 3: Cross multiply
    23,362.24x = 35,045.76 × 7,775.68
  4. Step 4: Simplify right side
    23,362.24x = 272,504,615.12
  5. Step 5: Solve for x
    x = 272,504,615.12/23,362.24
  6. Step 6: Final answer
    x = 11,664.32

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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.