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Finding the Fourth Proportional to 17,914.14, 24,721.68 and 9,957.24

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Solution

The fourth proportional to 17,914.14, 24,721.68 and 9,957.24 is: 13,741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,914.14 : 24,721.68 = 9,957.24 : x
  2. Step 2: Convert to fraction form
    17,914.14/24,721.68 = 9,957.24/x
  3. Step 3: Cross multiply
    17,914.14x = 24,721.68 × 9,957.24
  4. Step 4: Simplify right side
    17,914.14x = 246,159,700.96
  5. Step 5: Solve for x
    x = 246,159,700.96/17,914.14
  6. Step 6: Final answer
    x = 13,741.08

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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.