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Finding the Fourth Proportional to 17,399.60, 24,000.50 and 10,321

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Solution

The fourth proportional to 17,399.60, 24,000.50 and 10,321 is: 14,236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,399.60 : 24,000.50 = 10,321 : x
  2. Step 2: Convert to fraction form
    17,399.60/24,000.50 = 10,321/x
  3. Step 3: Cross multiply
    17,399.60x = 24,000.50 × 10,321
  4. Step 4: Simplify right side
    17,399.60x = 247,709,160.50
  5. Step 5: Solve for x
    x = 247,709,160.50/17,399.60
  6. Step 6: Final answer
    x = 14,236.49

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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.