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Finding the Fourth Proportional to 13,670.96, 18,866.16 and 8,955.24

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Solution

The fourth proportional to 13,670.96, 18,866.16 and 8,955.24 is: 12,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670.96 : 18,866.16 = 8,955.24 : x
  2. Step 2: Convert to fraction form
    13,670.96/18,866.16 = 8,955.24/x
  3. Step 3: Cross multiply
    13,670.96x = 18,866.16 × 8,955.24
  4. Step 4: Simplify right side
    13,670.96x = 168,950,990.68
  5. Step 5: Solve for x
    x = 168,950,990.68/13,670.96
  6. Step 6: Final answer
    x = 12,358.39

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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.