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Finding the Fourth Proportional to 23,821.56, 32,874.66 and 17,842.68

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Solution

The fourth proportional to 23,821.56, 32,874.66 and 17,842.68 is: 24,623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.56 : 32,874.66 = 17,842.68 : x
  2. Step 2: Convert to fraction form
    23,821.56/32,874.66 = 17,842.68/x
  3. Step 3: Cross multiply
    23,821.56x = 32,874.66 × 17,842.68
  4. Step 4: Simplify right side
    23,821.56x = 586,572,038.49
  5. Step 5: Solve for x
    x = 586,572,038.49/23,821.56
  6. Step 6: Final answer
    x = 24,623.58

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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.