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Finding the Fourth Proportional to 14,824.84, 20,425.44 and 9,780.16

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Solution

The fourth proportional to 14,824.84, 20,425.44 and 9,780.16 is: 13,474.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.84 : 20,425.44 = 9,780.16 : x
  2. Step 2: Convert to fraction form
    14,824.84/20,425.44 = 9,780.16/x
  3. Step 3: Cross multiply
    14,824.84x = 20,425.44 × 9,780.16
  4. Step 4: Simplify right side
    14,824.84x = 199,764,071.27
  5. Step 5: Solve for x
    x = 199,764,071.27/14,824.84
  6. Step 6: Final answer
    x = 13,474.96

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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.