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Finding the Fourth Proportional to 17,183, 25,770.54 and 9,689.84

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Solution

The fourth proportional to 17,183, 25,770.54 and 9,689.84 is: 14,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,183 : 25,770.54 = 9,689.84 : x
  2. Step 2: Convert to fraction form
    17,183/25,770.54 = 9,689.84/x
  3. Step 3: Cross multiply
    17,183x = 25,770.54 × 9,689.84
  4. Step 4: Simplify right side
    17,183x = 249,712,409.31
  5. Step 5: Solve for x
    x = 249,712,409.31/17,183
  6. Step 6: Final answer
    x = 14,532.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.