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Finding the Fourth Proportional to 15,914.86, 21,962.46 and 8,743.62

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Solution

The fourth proportional to 15,914.86, 21,962.46 and 8,743.62 is: 12,066.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,914.86 : 21,962.46 = 8,743.62 : x
  2. Step 2: Convert to fraction form
    15,914.86/21,962.46 = 8,743.62/x
  3. Step 3: Cross multiply
    15,914.86x = 21,962.46 × 8,743.62
  4. Step 4: Simplify right side
    15,914.86x = 192,031,404.51
  5. Step 5: Solve for x
    x = 192,031,404.51/15,914.86
  6. Step 6: Final answer
    x = 12,066.17

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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.