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Finding the Fourth Proportional to 16,416.93, 22,654.80 and 9,612.44

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Solution

The fourth proportional to 16,416.93, 22,654.80 and 9,612.44 is: 13,264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.93 : 22,654.80 = 9,612.44 : x
  2. Step 2: Convert to fraction form
    16,416.93/22,654.80 = 9,612.44/x
  3. Step 3: Cross multiply
    16,416.93x = 22,654.80 × 9,612.44
  4. Step 4: Simplify right side
    16,416.93x = 217,767,792.44
  5. Step 5: Solve for x
    x = 217,767,792.44/16,416.93
  6. Step 6: Final answer
    x = 13,264.83

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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.