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Finding the Fourth Proportional to 15,746.57, 21,730.09 and 8,672.84

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Solution

The fourth proportional to 15,746.57, 21,730.09 and 8,672.84 is: 11,968.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746.57 : 21,730.09 = 8,672.84 : x
  2. Step 2: Convert to fraction form
    15,746.57/21,730.09 = 8,672.84/x
  3. Step 3: Cross multiply
    15,746.57x = 21,730.09 × 8,672.84
  4. Step 4: Simplify right side
    15,746.57x = 188,461,593.76
  5. Step 5: Solve for x
    x = 188,461,593.76/15,746.57
  6. Step 6: Final answer
    x = 11,968.42

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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.