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Finding the Fourth Proportional to 17,780.70, 26,674.65 and 6,095.10

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Solution

The fourth proportional to 17,780.70, 26,674.65 and 6,095.10 is: 9,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.70 : 26,674.65 = 6,095.10 : x
  2. Step 2: Convert to fraction form
    17,780.70/26,674.65 = 6,095.10/x
  3. Step 3: Cross multiply
    17,780.70x = 26,674.65 × 6,095.10
  4. Step 4: Simplify right side
    17,780.70x = 162,584,659.22
  5. Step 5: Solve for x
    x = 162,584,659.22/17,780.70
  6. Step 6: Final answer
    x = 9,143.88

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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.