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Finding the Fourth Proportional to 17,744.34, 24,478.74 and 11,700.90

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Solution

The fourth proportional to 17,744.34, 24,478.74 and 11,700.90 is: 16,141.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.34 : 24,478.74 = 11,700.90 : x
  2. Step 2: Convert to fraction form
    17,744.34/24,478.74 = 11,700.90/x
  3. Step 3: Cross multiply
    17,744.34x = 24,478.74 × 11,700.90
  4. Step 4: Simplify right side
    17,744.34x = 286,423,288.87
  5. Step 5: Solve for x
    x = 286,423,288.87/17,744.34
  6. Step 6: Final answer
    x = 16,141.67

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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.