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Finding the Fourth Proportional to 17,624.68, 26,429.32 and 6,673

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Solution

The fourth proportional to 17,624.68, 26,429.32 and 6,673 is: 10,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.68 : 26,429.32 = 6,673 : x
  2. Step 2: Convert to fraction form
    17,624.68/26,429.32 = 6,673/x
  3. Step 3: Cross multiply
    17,624.68x = 26,429.32 × 6,673
  4. Step 4: Simplify right side
    17,624.68x = 176,362,852.36
  5. Step 5: Solve for x
    x = 176,362,852.36/17,624.68
  6. Step 6: Final answer
    x = 10,006.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.