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Finding the Fourth Proportional to 26,216.84, 36,147.80 and 21,419

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Solution

The fourth proportional to 26,216.84, 36,147.80 and 21,419 is: 29,532.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,216.84 : 36,147.80 = 21,419 : x
  2. Step 2: Convert to fraction form
    26,216.84/36,147.80 = 21,419/x
  3. Step 3: Cross multiply
    26,216.84x = 36,147.80 × 21,419
  4. Step 4: Simplify right side
    26,216.84x = 774,249,728.20
  5. Step 5: Solve for x
    x = 774,249,728.20/26,216.84
  6. Step 6: Final answer
    x = 29,532.53

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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.