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Finding the Fourth Proportional to 14,950.36, 22,425 and 6,178.72

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Solution

The fourth proportional to 14,950.36, 22,425 and 6,178.72 is: 9,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,950.36 : 22,425 = 6,178.72 : x
  2. Step 2: Convert to fraction form
    14,950.36/22,425 = 6,178.72/x
  3. Step 3: Cross multiply
    14,950.36x = 22,425 × 6,178.72
  4. Step 4: Simplify right side
    14,950.36x = 138,557,796
  5. Step 5: Solve for x
    x = 138,557,796/14,950.36
  6. Step 6: Final answer
    x = 9,267.86

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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.