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Finding the Fourth Proportional to 16,898.40, 23,319.66 and 9,446.40

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Solution

The fourth proportional to 16,898.40, 23,319.66 and 9,446.40 is: 13,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,898.40 : 23,319.66 = 9,446.40 : x
  2. Step 2: Convert to fraction form
    16,898.40/23,319.66 = 9,446.40/x
  3. Step 3: Cross multiply
    16,898.40x = 23,319.66 × 9,446.40
  4. Step 4: Simplify right side
    16,898.40x = 220,286,836.22
  5. Step 5: Solve for x
    x = 220,286,836.22/16,898.40
  6. Step 6: Final answer
    x = 13,035.96

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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.