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Finding the Fourth Proportional to 16,838.23, 25,225 and 9,420.20

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Solution

The fourth proportional to 16,838.23, 25,225 and 9,420.20 is: 14,112.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.23 : 25,225 = 9,420.20 : x
  2. Step 2: Convert to fraction form
    16,838.23/25,225 = 9,420.20/x
  3. Step 3: Cross multiply
    16,838.23x = 25,225 × 9,420.20
  4. Step 4: Simplify right side
    16,838.23x = 237,624,545.00
  5. Step 5: Solve for x
    x = 237,624,545.00/16,838.23
  6. Step 6: Final answer
    x = 14,112.20

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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.