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Finding the Fourth Proportional to 12,464.44, 17,200.96 and 7,430.92

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Solution

The fourth proportional to 12,464.44, 17,200.96 and 7,430.92 is: 10,254.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,464.44 : 17,200.96 = 7,430.92 : x
  2. Step 2: Convert to fraction form
    12,464.44/17,200.96 = 7,430.92/x
  3. Step 3: Cross multiply
    12,464.44x = 17,200.96 × 7,430.92
  4. Step 4: Simplify right side
    12,464.44x = 127,818,957.68
  5. Step 5: Solve for x
    x = 127,818,957.68/12,464.44
  6. Step 6: Final answer
    x = 10,254.69

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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.