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Finding the Fourth Proportional to 17,830.50, 24,604.02 and 10,276.76

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Solution

The fourth proportional to 17,830.50, 24,604.02 and 10,276.76 is: 14,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.50 : 24,604.02 = 10,276.76 : x
  2. Step 2: Convert to fraction form
    17,830.50/24,604.02 = 10,276.76/x
  3. Step 3: Cross multiply
    17,830.50x = 24,604.02 × 10,276.76
  4. Step 4: Simplify right side
    17,830.50x = 252,849,608.58
  5. Step 5: Solve for x
    x = 252,849,608.58/17,830.50
  6. Step 6: Final answer
    x = 14,180.74

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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.