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Finding the Fourth Proportional to 16,831.52, 23,226.51 and 9,659.78

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Solution

The fourth proportional to 16,831.52, 23,226.51 and 9,659.78 is: 13,329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,831.52 : 23,226.51 = 9,659.78 : x
  2. Step 2: Convert to fraction form
    16,831.52/23,226.51 = 9,659.78/x
  3. Step 3: Cross multiply
    16,831.52x = 23,226.51 × 9,659.78
  4. Step 4: Simplify right side
    16,831.52x = 224,362,976.77
  5. Step 5: Solve for x
    x = 224,362,976.77/16,831.52
  6. Step 6: Final answer
    x = 13,329.93

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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.