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Finding the Fourth Proportional to 23,524.83, 32,464.80 and 12,914.64

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Solution

The fourth proportional to 23,524.83, 32,464.80 and 12,914.64 is: 17,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,524.83 : 32,464.80 = 12,914.64 : x
  2. Step 2: Convert to fraction form
    23,524.83/32,464.80 = 12,914.64/x
  3. Step 3: Cross multiply
    23,524.83x = 32,464.80 × 12,914.64
  4. Step 4: Simplify right side
    23,524.83x = 419,271,204.67
  5. Step 5: Solve for x
    x = 419,271,204.67/23,524.83
  6. Step 6: Final answer
    x = 17,822.50

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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.