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Finding the Fourth Proportional to 17,896.66, 24,697.41 and 9,938.90

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Solution

The fourth proportional to 17,896.66, 24,697.41 and 9,938.90 is: 13,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896.66 : 24,697.41 = 9,938.90 : x
  2. Step 2: Convert to fraction form
    17,896.66/24,697.41 = 9,938.90/x
  3. Step 3: Cross multiply
    17,896.66x = 24,697.41 × 9,938.90
  4. Step 4: Simplify right side
    17,896.66x = 245,465,088.25
  5. Step 5: Solve for x
    x = 245,465,088.25/17,896.66
  6. Step 6: Final answer
    x = 13,715.69

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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.