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Finding the Fourth Proportional to 17,133, 25,702.06 and 6,037.74

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Solution

The fourth proportional to 17,133, 25,702.06 and 6,037.74 is: 9,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,133 : 25,702.06 = 6,037.74 : x
  2. Step 2: Convert to fraction form
    17,133/25,702.06 = 6,037.74/x
  3. Step 3: Cross multiply
    17,133x = 25,702.06 × 6,037.74
  4. Step 4: Simplify right side
    17,133x = 155,182,355.74
  5. Step 5: Solve for x
    x = 155,182,355.74/17,133
  6. Step 6: Final answer
    x = 9,057.51

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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.