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Finding the Fourth Proportional to 24,914, 34,381.32 and 13,736.72

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Solution

The fourth proportional to 24,914, 34,381.32 and 13,736.72 is: 18,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,914 : 34,381.32 = 13,736.72 : x
  2. Step 2: Convert to fraction form
    24,914/34,381.32 = 13,736.72/x
  3. Step 3: Cross multiply
    24,914x = 34,381.32 × 13,736.72
  4. Step 4: Simplify right side
    24,914x = 472,286,566.07
  5. Step 5: Solve for x
    x = 472,286,566.07/24,914
  6. Step 6: Final answer
    x = 18,956.67

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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.