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Finding the Fourth Proportional to 15,746.34, 21,728.98 and 8,672.78

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Solution

The fourth proportional to 15,746.34, 21,728.98 and 8,672.78 is: 11,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746.34 : 21,728.98 = 8,672.78 : x
  2. Step 2: Convert to fraction form
    15,746.34/21,728.98 = 8,672.78/x
  3. Step 3: Cross multiply
    15,746.34x = 21,728.98 × 8,672.78
  4. Step 4: Simplify right side
    15,746.34x = 188,450,663.16
  5. Step 5: Solve for x
    x = 188,450,663.16/15,746.34
  6. Step 6: Final answer
    x = 11,967.90

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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.