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Finding the Fourth Proportional to 16,546.91, 22,838.06 and 9,831.25

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Solution

The fourth proportional to 16,546.91, 22,838.06 and 9,831.25 is: 13,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.91 : 22,838.06 = 9,831.25 : x
  2. Step 2: Convert to fraction form
    16,546.91/22,838.06 = 9,831.25/x
  3. Step 3: Cross multiply
    16,546.91x = 22,838.06 × 9,831.25
  4. Step 4: Simplify right side
    16,546.91x = 224,526,644.86
  5. Step 5: Solve for x
    x = 224,526,644.86/16,546.91
  6. Step 6: Final answer
    x = 13,569.10

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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.