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Finding the Fourth Proportional to 16,838.62, 25,225.57 and 9,420.58

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Solution

The fourth proportional to 16,838.62, 25,225.57 and 9,420.58 is: 14,112.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,838.62 : 25,225.57 = 9,420.58 : x
  2. Step 2: Convert to fraction form
    16,838.62/25,225.57 = 9,420.58/x
  3. Step 3: Cross multiply
    16,838.62x = 25,225.57 × 9,420.58
  4. Step 4: Simplify right side
    16,838.62x = 237,639,500.23
  5. Step 5: Solve for x
    x = 237,639,500.23/16,838.62
  6. Step 6: Final answer
    x = 14,112.77

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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.