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Finding the Fourth Proportional to 12,434.14, 18,652.02 and 5,038.44

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Solution

The fourth proportional to 12,434.14, 18,652.02 and 5,038.44 is: 7,557.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.14 : 18,652.02 = 5,038.44 : x
  2. Step 2: Convert to fraction form
    12,434.14/18,652.02 = 5,038.44/x
  3. Step 3: Cross multiply
    12,434.14x = 18,652.02 × 5,038.44
  4. Step 4: Simplify right side
    12,434.14x = 93,977,083.65
  5. Step 5: Solve for x
    x = 93,977,083.65/12,434.14
  6. Step 6: Final answer
    x = 7,557.99

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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.