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Finding the Fourth Proportional to 17,896.45, 24,697.40 and 9,830.85

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Solution

The fourth proportional to 17,896.45, 24,697.40 and 9,830.85 is: 13,566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896.45 : 24,697.40 = 9,830.85 : x
  2. Step 2: Convert to fraction form
    17,896.45/24,697.40 = 9,830.85/x
  3. Step 3: Cross multiply
    17,896.45x = 24,697.40 × 9,830.85
  4. Step 4: Simplify right side
    17,896.45x = 242,796,385.64
  5. Step 5: Solve for x
    x = 242,796,385.64/17,896.45
  6. Step 6: Final answer
    x = 13,566.74

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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.