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Finding the Fourth Proportional to 16,831.80, 23,227.88 and 9,762.32

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Solution

The fourth proportional to 16,831.80, 23,227.88 and 9,762.32 is: 13,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,831.80 : 23,227.88 = 9,762.32 : x
  2. Step 2: Convert to fraction form
    16,831.80/23,227.88 = 9,762.32/x
  3. Step 3: Cross multiply
    16,831.80x = 23,227.88 × 9,762.32
  4. Step 4: Simplify right side
    16,831.80x = 226,757,832.53
  5. Step 5: Solve for x
    x = 226,757,832.53/16,831.80
  6. Step 6: Final answer
    x = 13,471.99

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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.