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Finding the Fourth Proportional to 17,619.65, 24,315.82 and 9,662.16

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Solution

The fourth proportional to 17,619.65, 24,315.82 and 9,662.16 is: 13,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,619.65 : 24,315.82 = 9,662.16 : x
  2. Step 2: Convert to fraction form
    17,619.65/24,315.82 = 9,662.16/x
  3. Step 3: Cross multiply
    17,619.65x = 24,315.82 × 9,662.16
  4. Step 4: Simplify right side
    17,619.65x = 234,943,428.32
  5. Step 5: Solve for x
    x = 234,943,428.32/17,619.65
  6. Step 6: Final answer
    x = 13,334.17

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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.