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Finding the Fourth Proportional to 12,014.75, 16,580.29 and 6,709.57

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Solution

The fourth proportional to 12,014.75, 16,580.29 and 6,709.57 is: 9,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,014.75 : 16,580.29 = 6,709.57 : x
  2. Step 2: Convert to fraction form
    12,014.75/16,580.29 = 6,709.57/x
  3. Step 3: Cross multiply
    12,014.75x = 16,580.29 × 6,709.57
  4. Step 4: Simplify right side
    12,014.75x = 111,246,616.38
  5. Step 5: Solve for x
    x = 111,246,616.38/12,014.75
  6. Step 6: Final answer
    x = 9,259.17

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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.