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Finding the Fourth Proportional to 16,784.48, 25,174.92 and 7,897.16

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Solution

The fourth proportional to 16,784.48, 25,174.92 and 7,897.16 is: 11,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784.48 : 25,174.92 = 7,897.16 : x
  2. Step 2: Convert to fraction form
    16,784.48/25,174.92 = 7,897.16/x
  3. Step 3: Cross multiply
    16,784.48x = 25,174.92 × 7,897.16
  4. Step 4: Simplify right side
    16,784.48x = 198,810,371.23
  5. Step 5: Solve for x
    x = 198,810,371.23/16,784.48
  6. Step 6: Final answer
    x = 11,844.89

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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.