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Finding the Fourth Proportional to 12,309.25, 16,987.38 and 7,004.56

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Solution

The fourth proportional to 12,309.25, 16,987.38 and 7,004.56 is: 9,666.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.25 : 16,987.38 = 7,004.56 : x
  2. Step 2: Convert to fraction form
    12,309.25/16,987.38 = 7,004.56/x
  3. Step 3: Cross multiply
    12,309.25x = 16,987.38 × 7,004.56
  4. Step 4: Simplify right side
    12,309.25x = 118,989,122.45
  5. Step 5: Solve for x
    x = 118,989,122.45/12,309.25
  6. Step 6: Final answer
    x = 9,666.64

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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.