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Finding the Fourth Proportional to 18,559.50, 25,612.12 and 10,176

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Solution

The fourth proportional to 18,559.50, 25,612.12 and 10,176 is: 14,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,559.50 : 25,612.12 = 10,176 : x
  2. Step 2: Convert to fraction form
    18,559.50/25,612.12 = 10,176/x
  3. Step 3: Cross multiply
    18,559.50x = 25,612.12 × 10,176
  4. Step 4: Simplify right side
    18,559.50x = 260,628,933.12
  5. Step 5: Solve for x
    x = 260,628,933.12/18,559.50
  6. Step 6: Final answer
    x = 14,042.89

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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.