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Finding the Fourth Proportional to 31,626, 43,643.70 and 17,285.67

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Solution

The fourth proportional to 31,626, 43,643.70 and 17,285.67 is: 23,854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,626 : 43,643.70 = 17,285.67 : x
  2. Step 2: Convert to fraction form
    31,626/43,643.70 = 17,285.67/x
  3. Step 3: Cross multiply
    31,626x = 43,643.70 × 17,285.67
  4. Step 4: Simplify right side
    31,626x = 754,410,595.78
  5. Step 5: Solve for x
    x = 754,410,595.78/31,626
  6. Step 6: Final answer
    x = 23,854.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.