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Finding the Fourth Proportional to 16,348.72, 24,538.47 and 8,563

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Solution

The fourth proportional to 16,348.72, 24,538.47 and 8,563 is: 12,852.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,348.72 : 24,538.47 = 8,563 : x
  2. Step 2: Convert to fraction form
    16,348.72/24,538.47 = 8,563/x
  3. Step 3: Cross multiply
    16,348.72x = 24,538.47 × 8,563
  4. Step 4: Simplify right side
    16,348.72x = 210,122,918.61
  5. Step 5: Solve for x
    x = 210,122,918.61/16,348.72
  6. Step 6: Final answer
    x = 12,852.56

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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.