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Finding the Fourth Proportional to 12,921.56, 17,831.76 and 7,256.31

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Solution

The fourth proportional to 12,921.56, 17,831.76 and 7,256.31 is: 10,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921.56 : 17,831.76 = 7,256.31 : x
  2. Step 2: Convert to fraction form
    12,921.56/17,831.76 = 7,256.31/x
  3. Step 3: Cross multiply
    12,921.56x = 17,831.76 × 7,256.31
  4. Step 4: Simplify right side
    12,921.56x = 129,392,827.13
  5. Step 5: Solve for x
    x = 129,392,827.13/12,921.56
  6. Step 6: Final answer
    x = 10,013.71

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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.