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Finding the Fourth Proportional to 23,525.37, 32,464.98 and 12,915

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Solution

The fourth proportional to 23,525.37, 32,464.98 and 12,915 is: 17,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,525.37 : 32,464.98 = 12,915 : x
  2. Step 2: Convert to fraction form
    23,525.37/32,464.98 = 12,915/x
  3. Step 3: Cross multiply
    23,525.37x = 32,464.98 × 12,915
  4. Step 4: Simplify right side
    23,525.37x = 419,285,216.70
  5. Step 5: Solve for x
    x = 419,285,216.70/23,525.37
  6. Step 6: Final answer
    x = 17,822.68

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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.