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Finding the Fourth Proportional to 16,929, 23,364.48 and 9,857.70

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Solution

The fourth proportional to 16,929, 23,364.48 and 9,857.70 is: 13,605.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,929 : 23,364.48 = 9,857.70 : x
  2. Step 2: Convert to fraction form
    16,929/23,364.48 = 9,857.70/x
  3. Step 3: Cross multiply
    16,929x = 23,364.48 × 9,857.70
  4. Step 4: Simplify right side
    16,929x = 230,320,034.50
  5. Step 5: Solve for x
    x = 230,320,034.50/16,929
  6. Step 6: Final answer
    x = 13,605.06

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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.