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Finding the Fourth Proportional to 13,037.65, 17,992 and 7,069.32

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Solution

The fourth proportional to 13,037.65, 17,992 and 7,069.32 is: 9,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.65 : 17,992 = 7,069.32 : x
  2. Step 2: Convert to fraction form
    13,037.65/17,992 = 7,069.32/x
  3. Step 3: Cross multiply
    13,037.65x = 17,992 × 7,069.32
  4. Step 4: Simplify right side
    13,037.65x = 127,191,205.44
  5. Step 5: Solve for x
    x = 127,191,205.44/13,037.65
  6. Step 6: Final answer
    x = 9,755.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.