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Finding the Fourth Proportional to 17,824.50, 24,595.20 and 9,866.68

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Solution

The fourth proportional to 17,824.50, 24,595.20 and 9,866.68 is: 13,614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.50 : 24,595.20 = 9,866.68 : x
  2. Step 2: Convert to fraction form
    17,824.50/24,595.20 = 9,866.68/x
  3. Step 3: Cross multiply
    17,824.50x = 24,595.20 × 9,866.68
  4. Step 4: Simplify right side
    17,824.50x = 242,672,967.94
  5. Step 5: Solve for x
    x = 242,672,967.94/17,824.50
  6. Step 6: Final answer
    x = 13,614.57

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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.