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Finding the Fourth Proportional to 12,289.95, 16,962.12 and 7,255.38

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Solution

The fourth proportional to 12,289.95, 16,962.12 and 7,255.38 is: 10,013.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.95 : 16,962.12 = 7,255.38 : x
  2. Step 2: Convert to fraction form
    12,289.95/16,962.12 = 7,255.38/x
  3. Step 3: Cross multiply
    12,289.95x = 16,962.12 × 7,255.38
  4. Step 4: Simplify right side
    12,289.95x = 123,066,626.21
  5. Step 5: Solve for x
    x = 123,066,626.21/12,289.95
  6. Step 6: Final answer
    x = 10,013.60

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Why These Related Problems?

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