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Finding the Fourth Proportional to 23,852.58, 35,774.46 and 9,057.93

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Solution

The fourth proportional to 23,852.58, 35,774.46 and 9,057.93 is: 13,585.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,852.58 : 35,774.46 = 9,057.93 : x
  2. Step 2: Convert to fraction form
    23,852.58/35,774.46 = 9,057.93/x
  3. Step 3: Cross multiply
    23,852.58x = 35,774.46 × 9,057.93
  4. Step 4: Simplify right side
    23,852.58x = 324,042,420.31
  5. Step 5: Solve for x
    x = 324,042,420.31/23,852.58
  6. Step 6: Final answer
    x = 13,585.22

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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.