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Finding the Fourth Proportional to 18,549.04, 25,598 and 10,165

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Solution

The fourth proportional to 18,549.04, 25,598 and 10,165 is: 14,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,549.04 : 25,598 = 10,165 : x
  2. Step 2: Convert to fraction form
    18,549.04/25,598 = 10,165/x
  3. Step 3: Cross multiply
    18,549.04x = 25,598 × 10,165
  4. Step 4: Simplify right side
    18,549.04x = 260,203,670
  5. Step 5: Solve for x
    x = 260,203,670/18,549.04
  6. Step 6: Final answer
    x = 14,027.88

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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.