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Finding the Fourth Proportional to 17,782, 24,541.32 and 10,330

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Solution

The fourth proportional to 17,782, 24,541.32 and 10,330 is: 14,256.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782 : 24,541.32 = 10,330 : x
  2. Step 2: Convert to fraction form
    17,782/24,541.32 = 10,330/x
  3. Step 3: Cross multiply
    17,782x = 24,541.32 × 10,330
  4. Step 4: Simplify right side
    17,782x = 253,511,835.60
  5. Step 5: Solve for x
    x = 253,511,835.60/17,782
  6. Step 6: Final answer
    x = 14,256.65

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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.