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Finding the Fourth Proportional to 16,193.81, 24,261.55 and 13,558.47

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Solution

The fourth proportional to 16,193.81, 24,261.55 and 13,558.47 is: 20,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,193.81 : 24,261.55 = 13,558.47 : x
  2. Step 2: Convert to fraction form
    16,193.81/24,261.55 = 13,558.47/x
  3. Step 3: Cross multiply
    16,193.81x = 24,261.55 × 13,558.47
  4. Step 4: Simplify right side
    16,193.81x = 328,949,463.93
  5. Step 5: Solve for x
    x = 328,949,463.93/16,193.81
  6. Step 6: Final answer
    x = 20,313.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.