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Finding the Fourth Proportional to 16,821.84, 23,213.80 and 9,748.08

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Solution

The fourth proportional to 16,821.84, 23,213.80 and 9,748.08 is: 13,452.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.84 : 23,213.80 = 9,748.08 : x
  2. Step 2: Convert to fraction form
    16,821.84/23,213.80 = 9,748.08/x
  3. Step 3: Cross multiply
    16,821.84x = 23,213.80 × 9,748.08
  4. Step 4: Simplify right side
    16,821.84x = 226,289,979.50
  5. Step 5: Solve for x
    x = 226,289,979.50/16,821.84
  6. Step 6: Final answer
    x = 13,452.15

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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.