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Finding the Fourth Proportional to 14,227.50, 19,601.90 and 9,916.53

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Solution

The fourth proportional to 14,227.50, 19,601.90 and 9,916.53 is: 13,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.50 : 19,601.90 = 9,916.53 : x
  2. Step 2: Convert to fraction form
    14,227.50/19,601.90 = 9,916.53/x
  3. Step 3: Cross multiply
    14,227.50x = 19,601.90 × 9,916.53
  4. Step 4: Simplify right side
    14,227.50x = 194,382,743.50
  5. Step 5: Solve for x
    x = 194,382,743.50/14,227.50
  6. Step 6: Final answer
    x = 13,662.47

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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.