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Finding the Fourth Proportional to 17,186.84, 25,780.06 and 6,798.52

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Solution

The fourth proportional to 17,186.84, 25,780.06 and 6,798.52 is: 10,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,186.84 : 25,780.06 = 6,798.52 : x
  2. Step 2: Convert to fraction form
    17,186.84/25,780.06 = 6,798.52/x
  3. Step 3: Cross multiply
    17,186.84x = 25,780.06 × 6,798.52
  4. Step 4: Simplify right side
    17,186.84x = 175,266,253.51
  5. Step 5: Solve for x
    x = 175,266,253.51/17,186.84
  6. Step 6: Final answer
    x = 10,197.70

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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.