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Finding the Fourth Proportional to 13,438.74, 18,544.92 and 7,470.51

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Solution

The fourth proportional to 13,438.74, 18,544.92 and 7,470.51 is: 10,309.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.74 : 18,544.92 = 7,470.51 : x
  2. Step 2: Convert to fraction form
    13,438.74/18,544.92 = 7,470.51/x
  3. Step 3: Cross multiply
    13,438.74x = 18,544.92 × 7,470.51
  4. Step 4: Simplify right side
    13,438.74x = 138,540,010.31
  5. Step 5: Solve for x
    x = 138,540,010.31/13,438.74
  6. Step 6: Final answer
    x = 10,309.00

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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.