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Finding the Fourth Proportional to 23,533.34, 32,475.87 and 12,777.98

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Solution

The fourth proportional to 23,533.34, 32,475.87 and 12,777.98 is: 17,633.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,533.34 : 32,475.87 = 12,777.98 : x
  2. Step 2: Convert to fraction form
    23,533.34/32,475.87 = 12,777.98/x
  3. Step 3: Cross multiply
    23,533.34x = 32,475.87 × 12,777.98
  4. Step 4: Simplify right side
    23,533.34x = 414,976,017.34
  5. Step 5: Solve for x
    x = 414,976,017.34/23,533.34
  6. Step 6: Final answer
    x = 17,633.54

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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.