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Finding the Fourth Proportional to 17,870.53, 24,662.64 and 9,914.26

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Solution

The fourth proportional to 17,870.53, 24,662.64 and 9,914.26 is: 13,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.53 : 24,662.64 = 9,914.26 : x
  2. Step 2: Convert to fraction form
    17,870.53/24,662.64 = 9,914.26/x
  3. Step 3: Cross multiply
    17,870.53x = 24,662.64 × 9,914.26
  4. Step 4: Simplify right side
    17,870.53x = 244,511,825.25
  5. Step 5: Solve for x
    x = 244,511,825.25/17,870.53
  6. Step 6: Final answer
    x = 13,682.40

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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.