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Finding the Fourth Proportional to 17,220.96, 23,767.74 and 9,670.50

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Solution

The fourth proportional to 17,220.96, 23,767.74 and 9,670.50 is: 13,346.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,220.96 : 23,767.74 = 9,670.50 : x
  2. Step 2: Convert to fraction form
    17,220.96/23,767.74 = 9,670.50/x
  3. Step 3: Cross multiply
    17,220.96x = 23,767.74 × 9,670.50
  4. Step 4: Simplify right side
    17,220.96x = 229,845,929.67
  5. Step 5: Solve for x
    x = 229,845,929.67/17,220.96
  6. Step 6: Final answer
    x = 13,346.87

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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.