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Finding the Fourth Proportional to 16,898.29, 23,318.69 and 9,344.16

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Solution

The fourth proportional to 16,898.29, 23,318.69 and 9,344.16 is: 12,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,898.29 : 23,318.69 = 9,344.16 : x
  2. Step 2: Convert to fraction form
    16,898.29/23,318.69 = 9,344.16/x
  3. Step 3: Cross multiply
    16,898.29x = 23,318.69 × 9,344.16
  4. Step 4: Simplify right side
    16,898.29x = 217,893,570.35
  5. Step 5: Solve for x
    x = 217,893,570.35/16,898.29
  6. Step 6: Final answer
    x = 12,894.42

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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.