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Finding the Fourth Proportional to 16,283.25, 24,407.82 and 7,523.91

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Solution

The fourth proportional to 16,283.25, 24,407.82 and 7,523.91 is: 11,277.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.25 : 24,407.82 = 7,523.91 : x
  2. Step 2: Convert to fraction form
    16,283.25/24,407.82 = 7,523.91/x
  3. Step 3: Cross multiply
    16,283.25x = 24,407.82 × 7,523.91
  4. Step 4: Simplify right side
    16,283.25x = 183,642,240.98
  5. Step 5: Solve for x
    x = 183,642,240.98/16,283.25
  6. Step 6: Final answer
    x = 11,277.98

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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.