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Finding the Fourth Proportional to 16,985.84, 25,469.04 and 7,116.80

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Solution

The fourth proportional to 16,985.84, 25,469.04 and 7,116.80 is: 10,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,985.84 : 25,469.04 = 7,116.80 : x
  2. Step 2: Convert to fraction form
    16,985.84/25,469.04 = 7,116.80/x
  3. Step 3: Cross multiply
    16,985.84x = 25,469.04 × 7,116.80
  4. Step 4: Simplify right side
    16,985.84x = 181,258,063.87
  5. Step 5: Solve for x
    x = 181,258,063.87/16,985.84
  6. Step 6: Final answer
    x = 10,671.13

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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.