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Finding the Fourth Proportional to 12,357.75, 18,537.64 and 4,037.58

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Solution

The fourth proportional to 12,357.75, 18,537.64 and 4,037.58 is: 6,056.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.75 : 18,537.64 = 4,037.58 : x
  2. Step 2: Convert to fraction form
    12,357.75/18,537.64 = 4,037.58/x
  3. Step 3: Cross multiply
    12,357.75x = 18,537.64 × 4,037.58
  4. Step 4: Simplify right side
    12,357.75x = 74,847,204.51
  5. Step 5: Solve for x
    x = 74,847,204.51/12,357.75
  6. Step 6: Final answer
    x = 6,056.70

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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.