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Finding the Fourth Proportional to 17,182.16, 23,705.16 and 10,103.36

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Solution

The fourth proportional to 17,182.16, 23,705.16 and 10,103.36 is: 13,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.16 : 23,705.16 = 10,103.36 : x
  2. Step 2: Convert to fraction form
    17,182.16/23,705.16 = 10,103.36/x
  3. Step 3: Cross multiply
    17,182.16x = 23,705.16 × 10,103.36
  4. Step 4: Simplify right side
    17,182.16x = 239,501,765.34
  5. Step 5: Solve for x
    x = 239,501,765.34/17,182.16
  6. Step 6: Final answer
    x = 13,938.98

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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.