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Finding the Fourth Proportional to 16,202.34, 22,364.82 and 9,490.13

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Solution

The fourth proportional to 16,202.34, 22,364.82 and 9,490.13 is: 13,099.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.34 : 22,364.82 = 9,490.13 : x
  2. Step 2: Convert to fraction form
    16,202.34/22,364.82 = 9,490.13/x
  3. Step 3: Cross multiply
    16,202.34x = 22,364.82 × 9,490.13
  4. Step 4: Simplify right side
    16,202.34x = 212,244,937.40
  5. Step 5: Solve for x
    x = 212,244,937.40/16,202.34
  6. Step 6: Final answer
    x = 13,099.65

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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.