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Finding the Fourth Proportional to 17,102, 25,578.88 and 10,065.24

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Solution

The fourth proportional to 17,102, 25,578.88 and 10,065.24 is: 15,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,102 : 25,578.88 = 10,065.24 : x
  2. Step 2: Convert to fraction form
    17,102/25,578.88 = 10,065.24/x
  3. Step 3: Cross multiply
    17,102x = 25,578.88 × 10,065.24
  4. Step 4: Simplify right side
    17,102x = 257,457,566.13
  5. Step 5: Solve for x
    x = 257,457,566.13/17,102
  6. Step 6: Final answer
    x = 15,054.24

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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.