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Finding the Fourth Proportional to 12,750.21, 17,590.77 and 7,444.31

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Solution

The fourth proportional to 12,750.21, 17,590.77 and 7,444.31 is: 10,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,750.21 : 17,590.77 = 7,444.31 : x
  2. Step 2: Convert to fraction form
    12,750.21/17,590.77 = 7,444.31/x
  3. Step 3: Cross multiply
    12,750.21x = 17,590.77 × 7,444.31
  4. Step 4: Simplify right side
    12,750.21x = 130,951,057.06
  5. Step 5: Solve for x
    x = 130,951,057.06/12,750.21
  6. Step 6: Final answer
    x = 10,270.50

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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.