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Finding the Fourth Proportional to 17,623.10, 24,319.73 and 9,665.18

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Solution

The fourth proportional to 17,623.10, 24,319.73 and 9,665.18 is: 13,337.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,623.10 : 24,319.73 = 9,665.18 : x
  2. Step 2: Convert to fraction form
    17,623.10/24,319.73 = 9,665.18/x
  3. Step 3: Cross multiply
    17,623.10x = 24,319.73 × 9,665.18
  4. Step 4: Simplify right side
    17,623.10x = 235,054,398.08
  5. Step 5: Solve for x
    x = 235,054,398.08/17,623.10
  6. Step 6: Final answer
    x = 13,337.86

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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.