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Finding the Fourth Proportional to 16,878.72, 25,294.40 and 7,984.64

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Solution

The fourth proportional to 16,878.72, 25,294.40 and 7,984.64 is: 11,965.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,878.72 : 25,294.40 = 7,984.64 : x
  2. Step 2: Convert to fraction form
    16,878.72/25,294.40 = 7,984.64/x
  3. Step 3: Cross multiply
    16,878.72x = 25,294.40 × 7,984.64
  4. Step 4: Simplify right side
    16,878.72x = 201,966,678.02
  5. Step 5: Solve for x
    x = 201,966,678.02/16,878.72
  6. Step 6: Final answer
    x = 11,965.76

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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.