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Finding the Fourth Proportional to 12,103.40, 16,700.58 and 7,067.90

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Solution

The fourth proportional to 12,103.40, 16,700.58 and 7,067.90 is: 9,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,103.40 : 16,700.58 = 7,067.90 : x
  2. Step 2: Convert to fraction form
    12,103.40/16,700.58 = 7,067.90/x
  3. Step 3: Cross multiply
    12,103.40x = 16,700.58 × 7,067.90
  4. Step 4: Simplify right side
    12,103.40x = 118,038,029.38
  5. Step 5: Solve for x
    x = 118,038,029.38/12,103.40
  6. Step 6: Final answer
    x = 9,752.47

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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.