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Finding the Fourth Proportional to 16,952.14, 25,400.40 and 5,852.98

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Solution

The fourth proportional to 16,952.14, 25,400.40 and 5,852.98 is: 8,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.14 : 25,400.40 = 5,852.98 : x
  2. Step 2: Convert to fraction form
    16,952.14/25,400.40 = 5,852.98/x
  3. Step 3: Cross multiply
    16,952.14x = 25,400.40 × 5,852.98
  4. Step 4: Simplify right side
    16,952.14x = 148,668,033.19
  5. Step 5: Solve for x
    x = 148,668,033.19/16,952.14
  6. Step 6: Final answer
    x = 8,769.87

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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.