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Finding the Fourth Proportional to 15,736.50, 21,714.08 and 8,929.47

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Solution

The fourth proportional to 15,736.50, 21,714.08 and 8,929.47 is: 12,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736.50 : 21,714.08 = 8,929.47 : x
  2. Step 2: Convert to fraction form
    15,736.50/21,714.08 = 8,929.47/x
  3. Step 3: Cross multiply
    15,736.50x = 21,714.08 × 8,929.47
  4. Step 4: Simplify right side
    15,736.50x = 193,895,225.94
  5. Step 5: Solve for x
    x = 193,895,225.94/15,736.50
  6. Step 6: Final answer
    x = 12,321.37

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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.