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Finding the Fourth Proportional to 17,809.14, 24,576.42 and 9,851.02

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Solution

The fourth proportional to 17,809.14, 24,576.42 and 9,851.02 is: 13,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,809.14 : 24,576.42 = 9,851.02 : x
  2. Step 2: Convert to fraction form
    17,809.14/24,576.42 = 9,851.02/x
  3. Step 3: Cross multiply
    17,809.14x = 24,576.42 × 9,851.02
  4. Step 4: Simplify right side
    17,809.14x = 242,102,804.95
  5. Step 5: Solve for x
    x = 242,102,804.95/17,809.14
  6. Step 6: Final answer
    x = 13,594.30

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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.