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Finding the Fourth Proportional to 16,952.80, 25,395.15 and 9,546.16

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Solution

The fourth proportional to 16,952.80, 25,395.15 and 9,546.16 is: 14,300.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,952.80 : 25,395.15 = 9,546.16 : x
  2. Step 2: Convert to fraction form
    16,952.80/25,395.15 = 9,546.16/x
  3. Step 3: Cross multiply
    16,952.80x = 25,395.15 × 9,546.16
  4. Step 4: Simplify right side
    16,952.80x = 242,426,165.12
  5. Step 5: Solve for x
    x = 242,426,165.12/16,952.80
  6. Step 6: Final answer
    x = 14,300.07

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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.