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Finding the Fourth Proportional to 12,777.58, 17,633.05 and 7,112.20

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Solution

The fourth proportional to 12,777.58, 17,633.05 and 7,112.20 is: 9,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.58 : 17,633.05 = 7,112.20 : x
  2. Step 2: Convert to fraction form
    12,777.58/17,633.05 = 7,112.20/x
  3. Step 3: Cross multiply
    12,777.58x = 17,633.05 × 7,112.20
  4. Step 4: Simplify right side
    12,777.58x = 125,409,848.96
  5. Step 5: Solve for x
    x = 125,409,848.96/12,777.58
  6. Step 6: Final answer
    x = 9,814.84

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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.