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Finding the Fourth Proportional to 16,893, 25,342.86 and 5,205.72

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Solution

The fourth proportional to 16,893, 25,342.86 and 5,205.72 is: 7,809.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,893 : 25,342.86 = 5,205.72 : x
  2. Step 2: Convert to fraction form
    16,893/25,342.86 = 5,205.72/x
  3. Step 3: Cross multiply
    16,893x = 25,342.86 × 5,205.72
  4. Step 4: Simplify right side
    16,893x = 131,927,833.16
  5. Step 5: Solve for x
    x = 131,927,833.16/16,893
  6. Step 6: Final answer
    x = 7,809.62

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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.