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Finding the Fourth Proportional to 16,288.59, 22,465.96 and 11,261.23

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Solution

The fourth proportional to 16,288.59, 22,465.96 and 11,261.23 is: 15,531.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.59 : 22,465.96 = 11,261.23 : x
  2. Step 2: Convert to fraction form
    16,288.59/22,465.96 = 11,261.23/x
  3. Step 3: Cross multiply
    16,288.59x = 22,465.96 × 11,261.23
  4. Step 4: Simplify right side
    16,288.59x = 252,994,258.41
  5. Step 5: Solve for x
    x = 252,994,258.41/16,288.59
  6. Step 6: Final answer
    x = 15,531.99

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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.