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Finding the Fourth Proportional to 17,484.72, 26,228 and 7,624.68

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Solution

The fourth proportional to 17,484.72, 26,228 and 7,624.68 is: 11,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,484.72 : 26,228 = 7,624.68 : x
  2. Step 2: Convert to fraction form
    17,484.72/26,228 = 7,624.68/x
  3. Step 3: Cross multiply
    17,484.72x = 26,228 × 7,624.68
  4. Step 4: Simplify right side
    17,484.72x = 199,980,107.04
  5. Step 5: Solve for x
    x = 199,980,107.04/17,484.72
  6. Step 6: Final answer
    x = 11,437.42

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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.