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Finding the Fourth Proportional to 17,758.82, 24,499.05 and 10,302.50

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Solution

The fourth proportional to 17,758.82, 24,499.05 and 10,302.50 is: 14,212.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,758.82 : 24,499.05 = 10,302.50 : x
  2. Step 2: Convert to fraction form
    17,758.82/24,499.05 = 10,302.50/x
  3. Step 3: Cross multiply
    17,758.82x = 24,499.05 × 10,302.50
  4. Step 4: Simplify right side
    17,758.82x = 252,401,462.63
  5. Step 5: Solve for x
    x = 252,401,462.63/17,758.82
  6. Step 6: Final answer
    x = 14,212.74

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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.