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Finding the Fourth Proportional to 17,622, 26,437.40 and 5,310

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Solution

The fourth proportional to 17,622, 26,437.40 and 5,310 is: 7,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,622 : 26,437.40 = 5,310 : x
  2. Step 2: Convert to fraction form
    17,622/26,437.40 = 5,310/x
  3. Step 3: Cross multiply
    17,622x = 26,437.40 × 5,310
  4. Step 4: Simplify right side
    17,622x = 140,382,594
  5. Step 5: Solve for x
    x = 140,382,594/17,622
  6. Step 6: Final answer
    x = 7,966.33

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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.