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Finding the Fourth Proportional to 16,985, 23,441.52 and 9,533

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Solution

The fourth proportional to 16,985, 23,441.52 and 9,533 is: 13,156.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,985 : 23,441.52 = 9,533 : x
  2. Step 2: Convert to fraction form
    16,985/23,441.52 = 9,533/x
  3. Step 3: Cross multiply
    16,985x = 23,441.52 × 9,533
  4. Step 4: Simplify right side
    16,985x = 223,468,010.16
  5. Step 5: Solve for x
    x = 223,468,010.16/16,985
  6. Step 6: Final answer
    x = 13,156.79

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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.