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Finding the Fourth Proportional to 16,506.96, 22,780.44 and 10,533.84

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Solution

The fourth proportional to 16,506.96, 22,780.44 and 10,533.84 is: 14,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,506.96 : 22,780.44 = 10,533.84 : x
  2. Step 2: Convert to fraction form
    16,506.96/22,780.44 = 10,533.84/x
  3. Step 3: Cross multiply
    16,506.96x = 22,780.44 × 10,533.84
  4. Step 4: Simplify right side
    16,506.96x = 239,965,510.09
  5. Step 5: Solve for x
    x = 239,965,510.09/16,506.96
  6. Step 6: Final answer
    x = 14,537.23

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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.