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Finding the Fourth Proportional to 17,617.12, 24,312.24 and 9,659.36

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Solution

The fourth proportional to 17,617.12, 24,312.24 and 9,659.36 is: 13,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.12 : 24,312.24 = 9,659.36 : x
  2. Step 2: Convert to fraction form
    17,617.12/24,312.24 = 9,659.36/x
  3. Step 3: Cross multiply
    17,617.12x = 24,312.24 × 9,659.36
  4. Step 4: Simplify right side
    17,617.12x = 234,840,678.57
  5. Step 5: Solve for x
    x = 234,840,678.57/17,617.12
  6. Step 6: Final answer
    x = 13,330.25

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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.