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Finding the Fourth Proportional to 17,536.70, 24,200.98 and 10,461.76

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Solution

The fourth proportional to 17,536.70, 24,200.98 and 10,461.76 is: 14,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536.70 : 24,200.98 = 10,461.76 : x
  2. Step 2: Convert to fraction form
    17,536.70/24,200.98 = 10,461.76/x
  3. Step 3: Cross multiply
    17,536.70x = 24,200.98 × 10,461.76
  4. Step 4: Simplify right side
    17,536.70x = 253,184,757.87
  5. Step 5: Solve for x
    x = 253,184,757.87/17,536.70
  6. Step 6: Final answer
    x = 14,437.42

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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.