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Finding the Fourth Proportional to 26,400, 36,448.56 and 16,984.92

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Solution

The fourth proportional to 26,400, 36,448.56 and 16,984.92 is: 23,449.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,400 : 36,448.56 = 16,984.92 : x
  2. Step 2: Convert to fraction form
    26,400/36,448.56 = 16,984.92/x
  3. Step 3: Cross multiply
    26,400x = 36,448.56 × 16,984.92
  4. Step 4: Simplify right side
    26,400x = 619,075,875.72
  5. Step 5: Solve for x
    x = 619,075,875.72/26,400
  6. Step 6: Final answer
    x = 23,449.84

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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.