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Finding the Fourth Proportional to 14,089.71, 19,442.16 and 8,121.33

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Solution

The fourth proportional to 14,089.71, 19,442.16 and 8,121.33 is: 11,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.71 : 19,442.16 = 8,121.33 : x
  2. Step 2: Convert to fraction form
    14,089.71/19,442.16 = 8,121.33/x
  3. Step 3: Cross multiply
    14,089.71x = 19,442.16 × 8,121.33
  4. Step 4: Simplify right side
    14,089.71x = 157,896,197.27
  5. Step 5: Solve for x
    x = 157,896,197.27/14,089.71
  6. Step 6: Final answer
    x = 11,206.49

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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.