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Finding the Fourth Proportional to 16,384.54, 22,537.61 and 14,357.92

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Solution

The fourth proportional to 16,384.54, 22,537.61 and 14,357.92 is: 19,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.54 : 22,537.61 = 14,357.92 : x
  2. Step 2: Convert to fraction form
    16,384.54/22,537.61 = 14,357.92/x
  3. Step 3: Cross multiply
    16,384.54x = 22,537.61 × 14,357.92
  4. Step 4: Simplify right side
    16,384.54x = 323,593,124.58
  5. Step 5: Solve for x
    x = 323,593,124.58/16,384.54
  6. Step 6: Final answer
    x = 19,749.91

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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.