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Finding the Fourth Proportional to 16,258.84, 22,437.92 and 9,185.32

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Solution

The fourth proportional to 16,258.84, 22,437.92 and 9,185.32 is: 12,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258.84 : 22,437.92 = 9,185.32 : x
  2. Step 2: Convert to fraction form
    16,258.84/22,437.92 = 9,185.32/x
  3. Step 3: Cross multiply
    16,258.84x = 22,437.92 × 9,185.32
  4. Step 4: Simplify right side
    16,258.84x = 206,099,475.33
  5. Step 5: Solve for x
    x = 206,099,475.33/16,258.84
  6. Step 6: Final answer
    x = 12,676.15

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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.