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Finding the Fourth Proportional to 17,732.84, 24,470.98 and 9,666.56

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Solution

The fourth proportional to 17,732.84, 24,470.98 and 9,666.56 is: 13,339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.84 : 24,470.98 = 9,666.56 : x
  2. Step 2: Convert to fraction form
    17,732.84/24,470.98 = 9,666.56/x
  3. Step 3: Cross multiply
    17,732.84x = 24,470.98 × 9,666.56
  4. Step 4: Simplify right side
    17,732.84x = 236,550,196.43
  5. Step 5: Solve for x
    x = 236,550,196.43/17,732.84
  6. Step 6: Final answer
    x = 13,339.67

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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.