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Finding the Fourth Proportional to 24,842.89, 34,271.67 and 14,765.68

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Solution

The fourth proportional to 24,842.89, 34,271.67 and 14,765.68 is: 20,369.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,842.89 : 34,271.67 = 14,765.68 : x
  2. Step 2: Convert to fraction form
    24,842.89/34,271.67 = 14,765.68/x
  3. Step 3: Cross multiply
    24,842.89x = 34,271.67 × 14,765.68
  4. Step 4: Simplify right side
    24,842.89x = 506,044,512.29
  5. Step 5: Solve for x
    x = 506,044,512.29/24,842.89
  6. Step 6: Final answer
    x = 20,369.79

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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.