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Finding the Fourth Proportional to 16,505.49, 22,780.48 and 9,794.81

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Solution

The fourth proportional to 16,505.49, 22,780.48 and 9,794.81 is: 13,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.49 : 22,780.48 = 9,794.81 : x
  2. Step 2: Convert to fraction form
    16,505.49/22,780.48 = 9,794.81/x
  3. Step 3: Cross multiply
    16,505.49x = 22,780.48 × 9,794.81
  4. Step 4: Simplify right side
    16,505.49x = 223,130,473.31
  5. Step 5: Solve for x
    x = 223,130,473.31/16,505.49
  6. Step 6: Final answer
    x = 13,518.57

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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.