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Finding the Fourth Proportional to 17,927.22, 26,890.21 and 6,833.50

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Solution

The fourth proportional to 17,927.22, 26,890.21 and 6,833.50 is: 10,250.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,927.22 : 26,890.21 = 6,833.50 : x
  2. Step 2: Convert to fraction form
    17,927.22/26,890.21 = 6,833.50/x
  3. Step 3: Cross multiply
    17,927.22x = 26,890.21 × 6,833.50
  4. Step 4: Simplify right side
    17,927.22x = 183,754,250.04
  5. Step 5: Solve for x
    x = 183,754,250.04/17,927.22
  6. Step 6: Final answer
    x = 10,250.01

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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.