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Finding the Fourth Proportional to 16,823.42, 25,238.73 and 5,137.50

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Solution

The fourth proportional to 16,823.42, 25,238.73 and 5,137.50 is: 7,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823.42 : 25,238.73 = 5,137.50 : x
  2. Step 2: Convert to fraction form
    16,823.42/25,238.73 = 5,137.50/x
  3. Step 3: Cross multiply
    16,823.42x = 25,238.73 × 5,137.50
  4. Step 4: Simplify right side
    16,823.42x = 129,663,975.38
  5. Step 5: Solve for x
    x = 129,663,975.38/16,823.42
  6. Step 6: Final answer
    x = 7,707.35

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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.