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Finding the Fourth Proportional to 17,005.50, 25,483.64 and 9,594.29

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Solution

The fourth proportional to 17,005.50, 25,483.64 and 9,594.29 is: 14,377.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,005.50 : 25,483.64 = 9,594.29 : x
  2. Step 2: Convert to fraction form
    17,005.50/25,483.64 = 9,594.29/x
  3. Step 3: Cross multiply
    17,005.50x = 25,483.64 × 9,594.29
  4. Step 4: Simplify right side
    17,005.50x = 244,497,448.15
  5. Step 5: Solve for x
    x = 244,497,448.15/17,005.50
  6. Step 6: Final answer
    x = 14,377.55

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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.