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Finding the Fourth Proportional to 18,533, 25,575.54 and 10,149.80

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Solution

The fourth proportional to 18,533, 25,575.54 and 10,149.80 is: 14,006.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,533 : 25,575.54 = 10,149.80 : x
  2. Step 2: Convert to fraction form
    18,533/25,575.54 = 10,149.80/x
  3. Step 3: Cross multiply
    18,533x = 25,575.54 × 10,149.80
  4. Step 4: Simplify right side
    18,533x = 259,586,615.89
  5. Step 5: Solve for x
    x = 259,586,615.89/18,533
  6. Step 6: Final answer
    x = 14,006.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.