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Finding the Fourth Proportional to 16,308.81, 22,506.24 and 9,138.74

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Solution

The fourth proportional to 16,308.81, 22,506.24 and 9,138.74 is: 12,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,308.81 : 22,506.24 = 9,138.74 : x
  2. Step 2: Convert to fraction form
    16,308.81/22,506.24 = 9,138.74/x
  3. Step 3: Cross multiply
    16,308.81x = 22,506.24 × 9,138.74
  4. Step 4: Simplify right side
    16,308.81x = 205,678,724.07
  5. Step 5: Solve for x
    x = 205,678,724.07/16,308.81
  6. Step 6: Final answer
    x = 12,611.51

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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.