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Finding the Fourth Proportional to 23,345.25, 35,018.19 and 7,762.88

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Solution

The fourth proportional to 23,345.25, 35,018.19 and 7,762.88 is: 11,644.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,345.25 : 35,018.19 = 7,762.88 : x
  2. Step 2: Convert to fraction form
    23,345.25/35,018.19 = 7,762.88/x
  3. Step 3: Cross multiply
    23,345.25x = 35,018.19 × 7,762.88
  4. Step 4: Simplify right side
    23,345.25x = 271,841,967.97
  5. Step 5: Solve for x
    x = 271,841,967.97/23,345.25
  6. Step 6: Final answer
    x = 11,644.42

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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.