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Finding the Fourth Proportional to 17,830.96, 26,752.54 and 6,740.84

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Solution

The fourth proportional to 17,830.96, 26,752.54 and 6,740.84 is: 10,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.96 : 26,752.54 = 6,740.84 : x
  2. Step 2: Convert to fraction form
    17,830.96/26,752.54 = 6,740.84/x
  3. Step 3: Cross multiply
    17,830.96x = 26,752.54 × 6,740.84
  4. Step 4: Simplify right side
    17,830.96x = 180,334,591.73
  5. Step 5: Solve for x
    x = 180,334,591.73/17,830.96
  6. Step 6: Final answer
    x = 10,113.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.