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Finding the Fourth Proportional to 16,509, 22,781.82 and 9,435

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Solution

The fourth proportional to 16,509, 22,781.82 and 9,435 is: 13,019.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509 : 22,781.82 = 9,435 : x
  2. Step 2: Convert to fraction form
    16,509/22,781.82 = 9,435/x
  3. Step 3: Cross multiply
    16,509x = 22,781.82 × 9,435
  4. Step 4: Simplify right side
    16,509x = 214,946,471.70
  5. Step 5: Solve for x
    x = 214,946,471.70/16,509
  6. Step 6: Final answer
    x = 13,019.96

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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.