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Finding the Fourth Proportional to 16,258.99, 22,437.56 and 9,185.47

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Solution

The fourth proportional to 16,258.99, 22,437.56 and 9,185.47 is: 12,676.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258.99 : 22,437.56 = 9,185.47 : x
  2. Step 2: Convert to fraction form
    16,258.99/22,437.56 = 9,185.47/x
  3. Step 3: Cross multiply
    16,258.99x = 22,437.56 × 9,185.47
  4. Step 4: Simplify right side
    16,258.99x = 206,099,534.25
  5. Step 5: Solve for x
    x = 206,099,534.25/16,258.99
  6. Step 6: Final answer
    x = 12,676.04

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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.