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Finding the Fourth Proportional to 24,709.91, 34,097.36 and 14,638.37

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Solution

The fourth proportional to 24,709.91, 34,097.36 and 14,638.37 is: 20,199.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.91 : 34,097.36 = 14,638.37 : x
  2. Step 2: Convert to fraction form
    24,709.91/34,097.36 = 14,638.37/x
  3. Step 3: Cross multiply
    24,709.91x = 34,097.36 × 14,638.37
  4. Step 4: Simplify right side
    24,709.91x = 499,129,528.02
  5. Step 5: Solve for x
    x = 499,129,528.02/24,709.91
  6. Step 6: Final answer
    x = 20,199.57

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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.