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Finding the Fourth Proportional to 12,313.20, 16,992.32 and 7,008.36

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Solution

The fourth proportional to 12,313.20, 16,992.32 and 7,008.36 is: 9,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,313.20 : 16,992.32 = 7,008.36 : x
  2. Step 2: Convert to fraction form
    12,313.20/16,992.32 = 7,008.36/x
  3. Step 3: Cross multiply
    12,313.20x = 16,992.32 × 7,008.36
  4. Step 4: Simplify right side
    12,313.20x = 119,088,295.80
  5. Step 5: Solve for x
    x = 119,088,295.80/12,313.20
  6. Step 6: Final answer
    x = 9,671.60

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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.