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Finding the Fourth Proportional to 16,544.69, 22,830.60 and 9,376.14

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Solution

The fourth proportional to 16,544.69, 22,830.60 and 9,376.14 is: 12,938.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,544.69 : 22,830.60 = 9,376.14 : x
  2. Step 2: Convert to fraction form
    16,544.69/22,830.60 = 9,376.14/x
  3. Step 3: Cross multiply
    16,544.69x = 22,830.60 × 9,376.14
  4. Step 4: Simplify right side
    16,544.69x = 214,062,901.88
  5. Step 5: Solve for x
    x = 214,062,901.88/16,544.69
  6. Step 6: Final answer
    x = 12,938.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.