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Finding the Fourth Proportional to 12,346.92, 17,035.38 and 7,039.80

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Solution

The fourth proportional to 12,346.92, 17,035.38 and 7,039.80 is: 9,713.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,346.92 : 17,035.38 = 7,039.80 : x
  2. Step 2: Convert to fraction form
    12,346.92/17,035.38 = 7,039.80/x
  3. Step 3: Cross multiply
    12,346.92x = 17,035.38 × 7,039.80
  4. Step 4: Simplify right side
    12,346.92x = 119,925,668.12
  5. Step 5: Solve for x
    x = 119,925,668.12/12,346.92
  6. Step 6: Final answer
    x = 9,713.00

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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.