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Finding the Fourth Proportional to 13,151.32, 19,728 and 4,386.23

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Solution

The fourth proportional to 13,151.32, 19,728 and 4,386.23 is: 6,579.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.32 : 19,728 = 4,386.23 : x
  2. Step 2: Convert to fraction form
    13,151.32/19,728 = 4,386.23/x
  3. Step 3: Cross multiply
    13,151.32x = 19,728 × 4,386.23
  4. Step 4: Simplify right side
    13,151.32x = 86,531,545.44
  5. Step 5: Solve for x
    x = 86,531,545.44/13,151.32
  6. Step 6: Final answer
    x = 6,579.69

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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.