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Finding the Fourth Proportional to 16,985.84, 25,481.36 and 5,300

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Solution

The fourth proportional to 16,985.84, 25,481.36 and 5,300 is: 7,950.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,985.84 : 25,481.36 = 5,300 : x
  2. Step 2: Convert to fraction form
    16,985.84/25,481.36 = 5,300/x
  3. Step 3: Cross multiply
    16,985.84x = 25,481.36 × 5,300
  4. Step 4: Simplify right side
    16,985.84x = 135,051,208
  5. Step 5: Solve for x
    x = 135,051,208/16,985.84
  6. Step 6: Final answer
    x = 7,950.81

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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.