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Finding the Fourth Proportional to 17,966.90, 24,794.68 and 10,415.67

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Solution

The fourth proportional to 17,966.90, 24,794.68 and 10,415.67 is: 14,373.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,966.90 : 24,794.68 = 10,415.67 : x
  2. Step 2: Convert to fraction form
    17,966.90/24,794.68 = 10,415.67/x
  3. Step 3: Cross multiply
    17,966.90x = 24,794.68 × 10,415.67
  4. Step 4: Simplify right side
    17,966.90x = 258,253,273.91
  5. Step 5: Solve for x
    x = 258,253,273.91/17,966.90
  6. Step 6: Final answer
    x = 14,373.84

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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.