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Finding the Fourth Proportional to 26,584, 39,949.25 and 14,113.37

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Solution

The fourth proportional to 26,584, 39,949.25 and 14,113.37 is: 21,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,584 : 39,949.25 = 14,113.37 : x
  2. Step 2: Convert to fraction form
    26,584/39,949.25 = 14,113.37/x
  3. Step 3: Cross multiply
    26,584x = 39,949.25 × 14,113.37
  4. Step 4: Simplify right side
    26,584x = 563,818,276.16
  5. Step 5: Solve for x
    x = 563,818,276.16/26,584
  6. Step 6: Final answer
    x = 21,208.93

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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.