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Finding the Fourth Proportional to 15,714.96, 21,688.46 and 9,343.09

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Solution

The fourth proportional to 15,714.96, 21,688.46 and 9,343.09 is: 12,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.96 : 21,688.46 = 9,343.09 : x
  2. Step 2: Convert to fraction form
    15,714.96/21,688.46 = 9,343.09/x
  3. Step 3: Cross multiply
    15,714.96x = 21,688.46 × 9,343.09
  4. Step 4: Simplify right side
    15,714.96x = 202,637,233.74
  5. Step 5: Solve for x
    x = 202,637,233.74/15,714.96
  6. Step 6: Final answer
    x = 12,894.54

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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.