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Finding the Fourth Proportional to 17,723.10, 24,457.86 and 9,765.49

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Solution

The fourth proportional to 17,723.10, 24,457.86 and 9,765.49 is: 13,476.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,723.10 : 24,457.86 = 9,765.49 : x
  2. Step 2: Convert to fraction form
    17,723.10/24,457.86 = 9,765.49/x
  3. Step 3: Cross multiply
    17,723.10x = 24,457.86 × 9,765.49
  4. Step 4: Simplify right side
    17,723.10x = 238,842,987.25
  5. Step 5: Solve for x
    x = 238,842,987.25/17,723.10
  6. Step 6: Final answer
    x = 13,476.37

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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.