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Finding the Fourth Proportional to 16,930.69, 23,356.65 and 9,853

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Solution

The fourth proportional to 16,930.69, 23,356.65 and 9,853 is: 13,592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,930.69 : 23,356.65 = 9,853 : x
  2. Step 2: Convert to fraction form
    16,930.69/23,356.65 = 9,853/x
  3. Step 3: Cross multiply
    16,930.69x = 23,356.65 × 9,853
  4. Step 4: Simplify right side
    16,930.69x = 230,133,072.45
  5. Step 5: Solve for x
    x = 230,133,072.45/16,930.69
  6. Step 6: Final answer
    x = 13,592.66

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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.