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Finding the Fourth Proportional to 12,457.77, 18,686.59 and 3,097.73

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Solution

The fourth proportional to 12,457.77, 18,686.59 and 3,097.73 is: 4,646.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.77 : 18,686.59 = 3,097.73 : x
  2. Step 2: Convert to fraction form
    12,457.77/18,686.59 = 3,097.73/x
  3. Step 3: Cross multiply
    12,457.77x = 18,686.59 × 3,097.73
  4. Step 4: Simplify right side
    12,457.77x = 57,886,049.41
  5. Step 5: Solve for x
    x = 57,886,049.41/12,457.77
  6. Step 6: Final answer
    x = 4,646.58

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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.