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Finding the Fourth Proportional to 17,036.76, 23,510.46 and 9,483

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Solution

The fourth proportional to 17,036.76, 23,510.46 and 9,483 is: 13,086.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,036.76 : 23,510.46 = 9,483 : x
  2. Step 2: Convert to fraction form
    17,036.76/23,510.46 = 9,483/x
  3. Step 3: Cross multiply
    17,036.76x = 23,510.46 × 9,483
  4. Step 4: Simplify right side
    17,036.76x = 222,949,692.18
  5. Step 5: Solve for x
    x = 222,949,692.18/17,036.76
  6. Step 6: Final answer
    x = 13,086.39

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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.