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Finding the Fourth Proportional to 12,438.90, 17,165.39 and 7,133.38

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Solution

The fourth proportional to 12,438.90, 17,165.39 and 7,133.38 is: 9,843.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,438.90 : 17,165.39 = 7,133.38 : x
  2. Step 2: Convert to fraction form
    12,438.90/17,165.39 = 7,133.38/x
  3. Step 3: Cross multiply
    12,438.90x = 17,165.39 × 7,133.38
  4. Step 4: Simplify right side
    12,438.90x = 122,447,210.32
  5. Step 5: Solve for x
    x = 122,447,210.32/12,438.90
  6. Step 6: Final answer
    x = 9,843.89

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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.