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Finding the Fourth Proportional to 17,205.80, 25,835.10 and 9,429.80

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Solution

The fourth proportional to 17,205.80, 25,835.10 and 9,429.80 is: 14,159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.80 : 25,835.10 = 9,429.80 : x
  2. Step 2: Convert to fraction form
    17,205.80/25,835.10 = 9,429.80/x
  3. Step 3: Cross multiply
    17,205.80x = 25,835.10 × 9,429.80
  4. Step 4: Simplify right side
    17,205.80x = 243,619,825.98
  5. Step 5: Solve for x
    x = 243,619,825.98/17,205.80
  6. Step 6: Final answer
    x = 14,159.17

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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.