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Finding the Fourth Proportional to 18,624, 25,701.12 and 10,240.50

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Solution

The fourth proportional to 18,624, 25,701.12 and 10,240.50 is: 14,131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,624 : 25,701.12 = 10,240.50 : x
  2. Step 2: Convert to fraction form
    18,624/25,701.12 = 10,240.50/x
  3. Step 3: Cross multiply
    18,624x = 25,701.12 × 10,240.50
  4. Step 4: Simplify right side
    18,624x = 263,192,319.36
  5. Step 5: Solve for x
    x = 263,192,319.36/18,624
  6. Step 6: Final answer
    x = 14,131.89

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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.