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Finding the Fourth Proportional to 16,258.56, 22,433.85 and 9,544.47

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Solution

The fourth proportional to 16,258.56, 22,433.85 and 9,544.47 is: 13,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258.56 : 22,433.85 = 9,544.47 : x
  2. Step 2: Convert to fraction form
    16,258.56/22,433.85 = 9,544.47/x
  3. Step 3: Cross multiply
    16,258.56x = 22,433.85 × 9,544.47
  4. Step 4: Simplify right side
    16,258.56x = 214,119,208.31
  5. Step 5: Solve for x
    x = 214,119,208.31/16,258.56
  6. Step 6: Final answer
    x = 13,169.63

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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.