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Finding the Fourth Proportional to 23,557.01, 35,339.84 and 7,762.97

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Solution

The fourth proportional to 23,557.01, 35,339.84 and 7,762.97 is: 11,645.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,557.01 : 35,339.84 = 7,762.97 : x
  2. Step 2: Convert to fraction form
    23,557.01/35,339.84 = 7,762.97/x
  3. Step 3: Cross multiply
    23,557.01x = 35,339.84 × 7,762.97
  4. Step 4: Simplify right side
    23,557.01x = 274,342,240.04
  5. Step 5: Solve for x
    x = 274,342,240.04/23,557.01
  6. Step 6: Final answer
    x = 11,645.89

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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.