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Finding the Fourth Proportional to 16,283.19, 24,419.79 and 6,285.63

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Solution

The fourth proportional to 16,283.19, 24,419.79 and 6,285.63 is: 9,426.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.19 : 24,419.79 = 6,285.63 : x
  2. Step 2: Convert to fraction form
    16,283.19/24,419.79 = 6,285.63/x
  3. Step 3: Cross multiply
    16,283.19x = 24,419.79 × 6,285.63
  4. Step 4: Simplify right side
    16,283.19x = 153,493,764.62
  5. Step 5: Solve for x
    x = 153,493,764.62/16,283.19
  6. Step 6: Final answer
    x = 9,426.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.