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Finding the Fourth Proportional to 12,509.94, 18,737.14 and 8,989.38

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Solution

The fourth proportional to 12,509.94, 18,737.14 and 8,989.38 is: 13,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,509.94 : 18,737.14 = 8,989.38 : x
  2. Step 2: Convert to fraction form
    12,509.94/18,737.14 = 8,989.38/x
  3. Step 3: Cross multiply
    12,509.94x = 18,737.14 × 8,989.38
  4. Step 4: Simplify right side
    12,509.94x = 168,435,271.57
  5. Step 5: Solve for x
    x = 168,435,271.57/12,509.94
  6. Step 6: Final answer
    x = 13,464.12

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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.