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Finding the Fourth Proportional to 17,722.85, 24,457.52 and 9,765.24

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Solution

The fourth proportional to 17,722.85, 24,457.52 and 9,765.24 is: 13,476.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.85 : 24,457.52 = 9,765.24 : x
  2. Step 2: Convert to fraction form
    17,722.85/24,457.52 = 9,765.24/x
  3. Step 3: Cross multiply
    17,722.85x = 24,457.52 × 9,765.24
  4. Step 4: Simplify right side
    17,722.85x = 238,833,503.78
  5. Step 5: Solve for x
    x = 238,833,503.78/17,722.85
  6. Step 6: Final answer
    x = 13,476.03

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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.