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Finding the Fourth Proportional to 13,471.14, 18,598.48 and 8,695.28

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Solution

The fourth proportional to 13,471.14, 18,598.48 and 8,695.28 is: 12,004.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.14 : 18,598.48 = 8,695.28 : x
  2. Step 2: Convert to fraction form
    13,471.14/18,598.48 = 8,695.28/x
  3. Step 3: Cross multiply
    13,471.14x = 18,598.48 × 8,695.28
  4. Step 4: Simplify right side
    13,471.14x = 161,718,991.17
  5. Step 5: Solve for x
    x = 161,718,991.17/13,471.14
  6. Step 6: Final answer
    x = 12,004.85

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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.