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Finding the Fourth Proportional to 26,964, 40,453.98 and 13,825.59

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Solution

The fourth proportional to 26,964, 40,453.98 and 13,825.59 is: 20,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,964 : 40,453.98 = 13,825.59 : x
  2. Step 2: Convert to fraction form
    26,964/40,453.98 = 13,825.59/x
  3. Step 3: Cross multiply
    26,964x = 40,453.98 × 13,825.59
  4. Step 4: Simplify right side
    26,964x = 559,300,141.35
  5. Step 5: Solve for x
    x = 559,300,141.35/26,964
  6. Step 6: Final answer
    x = 20,742.48

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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.