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Finding the Fourth Proportional to 16,544.18, 22,828.46 and 9,469.28

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Solution

The fourth proportional to 16,544.18, 22,828.46 and 9,469.28 is: 13,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.18 : 22,828.46 = 9,469.28 : x
  2. Step 2: Convert to fraction form
    16,544.18/22,828.46 = 9,469.28/x
  3. Step 3: Cross multiply
    16,544.18x = 22,828.46 × 9,469.28
  4. Step 4: Simplify right side
    16,544.18x = 216,169,079.71
  5. Step 5: Solve for x
    x = 216,169,079.71/16,544.18
  6. Step 6: Final answer
    x = 13,066.17

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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.