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Finding the Fourth Proportional to 17,621.14, 24,317.10 and 9,663.16

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Solution

The fourth proportional to 17,621.14, 24,317.10 and 9,663.16 is: 13,335.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,621.14 : 24,317.10 = 9,663.16 : x
  2. Step 2: Convert to fraction form
    17,621.14/24,317.10 = 9,663.16/x
  3. Step 3: Cross multiply
    17,621.14x = 24,317.10 × 9,663.16
  4. Step 4: Simplify right side
    17,621.14x = 234,980,028.04
  5. Step 5: Solve for x
    x = 234,980,028.04/17,621.14
  6. Step 6: Final answer
    x = 13,335.12

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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.