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Finding the Fourth Proportional to 16,953, 25,429.50 and 6,009

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Solution

The fourth proportional to 16,953, 25,429.50 and 6,009 is: 9,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,953 : 25,429.50 = 6,009 : x
  2. Step 2: Convert to fraction form
    16,953/25,429.50 = 6,009/x
  3. Step 3: Cross multiply
    16,953x = 25,429.50 × 6,009
  4. Step 4: Simplify right side
    16,953x = 152,805,865.50
  5. Step 5: Solve for x
    x = 152,805,865.50/16,953
  6. Step 6: Final answer
    x = 9,013.50

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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.