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Finding the Fourth Proportional to 12,229.84, 16,875.57 and 7,745.68

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Solution

The fourth proportional to 12,229.84, 16,875.57 and 7,745.68 is: 10,688.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,229.84 : 16,875.57 = 7,745.68 : x
  2. Step 2: Convert to fraction form
    12,229.84/16,875.57 = 7,745.68/x
  3. Step 3: Cross multiply
    12,229.84x = 16,875.57 × 7,745.68
  4. Step 4: Simplify right side
    12,229.84x = 130,712,765.04
  5. Step 5: Solve for x
    x = 130,712,765.04/12,229.84
  6. Step 6: Final answer
    x = 10,688.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.