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Finding the Fourth Proportional to 17,722.98, 24,457.76 and 9,765.18

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Solution

The fourth proportional to 17,722.98, 24,457.76 and 9,765.18 is: 13,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.98 : 24,457.76 = 9,765.18 : x
  2. Step 2: Convert to fraction form
    17,722.98/24,457.76 = 9,765.18/x
  3. Step 3: Cross multiply
    17,722.98x = 24,457.76 × 9,765.18
  4. Step 4: Simplify right side
    17,722.98x = 238,834,428.80
  5. Step 5: Solve for x
    x = 238,834,428.80/17,722.98
  6. Step 6: Final answer
    x = 13,475.97

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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.