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Finding the Fourth Proportional to 12,428.57, 18,649.34 and 5,038.49

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Solution

The fourth proportional to 12,428.57, 18,649.34 and 5,038.49 is: 7,560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,428.57 : 18,649.34 = 5,038.49 : x
  2. Step 2: Convert to fraction form
    12,428.57/18,649.34 = 5,038.49/x
  3. Step 3: Cross multiply
    12,428.57x = 18,649.34 × 5,038.49
  4. Step 4: Simplify right side
    12,428.57x = 93,964,513.10
  5. Step 5: Solve for x
    x = 93,964,513.10/12,428.57
  6. Step 6: Final answer
    x = 7,560.36

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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.