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Finding the Fourth Proportional to 23,441.37, 32,347.86 and 12,828.96

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Solution

The fourth proportional to 23,441.37, 32,347.86 and 12,828.96 is: 17,703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,441.37 : 32,347.86 = 12,828.96 : x
  2. Step 2: Convert to fraction form
    23,441.37/32,347.86 = 12,828.96/x
  3. Step 3: Cross multiply
    23,441.37x = 32,347.86 × 12,828.96
  4. Step 4: Simplify right side
    23,441.37x = 414,989,262.94
  5. Step 5: Solve for x
    x = 414,989,262.94/23,441.37
  6. Step 6: Final answer
    x = 17,703.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.