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Finding the Fourth Proportional to 12,123.63, 18,175.73 and 6,281.91

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Solution

The fourth proportional to 12,123.63, 18,175.73 and 6,281.91 is: 9,417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,123.63 : 18,175.73 = 6,281.91 : x
  2. Step 2: Convert to fraction form
    12,123.63/18,175.73 = 6,281.91/x
  3. Step 3: Cross multiply
    12,123.63x = 18,175.73 × 6,281.91
  4. Step 4: Simplify right side
    12,123.63x = 114,178,268.63
  5. Step 5: Solve for x
    x = 114,178,268.63/12,123.63
  6. Step 6: Final answer
    x = 9,417.83

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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.