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Finding the Fourth Proportional to 12,158.42, 16,782.81 and 7,124.27

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Solution

The fourth proportional to 12,158.42, 16,782.81 and 7,124.27 is: 9,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.42 : 16,782.81 = 7,124.27 : x
  2. Step 2: Convert to fraction form
    12,158.42/16,782.81 = 7,124.27/x
  3. Step 3: Cross multiply
    12,158.42x = 16,782.81 × 7,124.27
  4. Step 4: Simplify right side
    12,158.42x = 119,565,222.10
  5. Step 5: Solve for x
    x = 119,565,222.10/12,158.42
  6. Step 6: Final answer
    x = 9,833.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.