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Finding the Fourth Proportional to 14,950.98, 22,431.57 and 9,397.82

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Solution

The fourth proportional to 14,950.98, 22,431.57 and 9,397.82 is: 14,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,950.98 : 22,431.57 = 9,397.82 : x
  2. Step 2: Convert to fraction form
    14,950.98/22,431.57 = 9,397.82/x
  3. Step 3: Cross multiply
    14,950.98x = 22,431.57 × 9,397.82
  4. Step 4: Simplify right side
    14,950.98x = 210,807,878.01
  5. Step 5: Solve for x
    x = 210,807,878.01/14,950.98
  6. Step 6: Final answer
    x = 14,099.94

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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.