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Finding the Fourth Proportional to 22,831.56, 31,507.46 and 12,760

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Solution

The fourth proportional to 22,831.56, 31,507.46 and 12,760 is: 17,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,831.56 : 31,507.46 = 12,760 : x
  2. Step 2: Convert to fraction form
    22,831.56/31,507.46 = 12,760/x
  3. Step 3: Cross multiply
    22,831.56x = 31,507.46 × 12,760
  4. Step 4: Simplify right side
    22,831.56x = 402,035,189.60
  5. Step 5: Solve for x
    x = 402,035,189.60/22,831.56
  6. Step 6: Final answer
    x = 17,608.75

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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.