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Finding the Fourth Proportional to 16,037.84, 24,056.80 and 6,175.28

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Solution

The fourth proportional to 16,037.84, 24,056.80 and 6,175.28 is: 9,262.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,037.84 : 24,056.80 = 6,175.28 : x
  2. Step 2: Convert to fraction form
    16,037.84/24,056.80 = 6,175.28/x
  3. Step 3: Cross multiply
    16,037.84x = 24,056.80 × 6,175.28
  4. Step 4: Simplify right side
    16,037.84x = 148,557,475.90
  5. Step 5: Solve for x
    x = 148,557,475.90/16,037.84
  6. Step 6: Final answer
    x = 9,262.94

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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.