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Finding the Fourth Proportional to 15,746.16, 21,729.81 and 8,672.83

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Solution

The fourth proportional to 15,746.16, 21,729.81 and 8,672.83 is: 11,968.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746.16 : 21,729.81 = 8,672.83 : x
  2. Step 2: Convert to fraction form
    15,746.16/21,729.81 = 8,672.83/x
  3. Step 3: Cross multiply
    15,746.16x = 21,729.81 × 8,672.83
  4. Step 4: Simplify right side
    15,746.16x = 188,458,948.06
  5. Step 5: Solve for x
    x = 188,458,948.06/15,746.16
  6. Step 6: Final answer
    x = 11,968.57

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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.