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Finding the Fourth Proportional to 16,505.84, 22,778.40 and 9,336.08

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Solution

The fourth proportional to 16,505.84, 22,778.40 and 9,336.08 is: 12,883.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,505.84 : 22,778.40 = 9,336.08 : x
  2. Step 2: Convert to fraction form
    16,505.84/22,778.40 = 9,336.08/x
  3. Step 3: Cross multiply
    16,505.84x = 22,778.40 × 9,336.08
  4. Step 4: Simplify right side
    16,505.84x = 212,660,964.67
  5. Step 5: Solve for x
    x = 212,660,964.67/16,505.84
  6. Step 6: Final answer
    x = 12,883.98

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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.