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Finding the Fourth Proportional to 17,985, 24,821.46 and 10,533

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Solution

The fourth proportional to 17,985, 24,821.46 and 10,533 is: 14,536.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,985 : 24,821.46 = 10,533 : x
  2. Step 2: Convert to fraction form
    17,985/24,821.46 = 10,533/x
  3. Step 3: Cross multiply
    17,985x = 24,821.46 × 10,533
  4. Step 4: Simplify right side
    17,985x = 261,444,438.18
  5. Step 5: Solve for x
    x = 261,444,438.18/17,985
  6. Step 6: Final answer
    x = 14,536.81

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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.