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Finding the Fourth Proportional to 16,839.60, 23,238.60 and 9,770.16

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Solution

The fourth proportional to 16,839.60, 23,238.60 and 9,770.16 is: 13,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,839.60 : 23,238.60 = 9,770.16 : x
  2. Step 2: Convert to fraction form
    16,839.60/23,238.60 = 9,770.16/x
  3. Step 3: Cross multiply
    16,839.60x = 23,238.60 × 9,770.16
  4. Step 4: Simplify right side
    16,839.60x = 227,044,840.18
  5. Step 5: Solve for x
    x = 227,044,840.18/16,839.60
  6. Step 6: Final answer
    x = 13,482.79

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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.