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Finding the Fourth Proportional to 16,538.40, 22,819.68 and 9,825.12

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Solution

The fourth proportional to 16,538.40, 22,819.68 and 9,825.12 is: 13,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,538.40 : 22,819.68 = 9,825.12 : x
  2. Step 2: Convert to fraction form
    16,538.40/22,819.68 = 9,825.12/x
  3. Step 3: Cross multiply
    16,538.40x = 22,819.68 × 9,825.12
  4. Step 4: Simplify right side
    16,538.40x = 224,206,094.36
  5. Step 5: Solve for x
    x = 224,206,094.36/16,538.40
  6. Step 6: Final answer
    x = 13,556.70

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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.