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Finding the Fourth Proportional to 17,537.31, 24,201.59 and 10,461.96

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Solution

The fourth proportional to 17,537.31, 24,201.59 and 10,461.96 is: 14,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.31 : 24,201.59 = 10,461.96 : x
  2. Step 2: Convert to fraction form
    17,537.31/24,201.59 = 10,461.96/x
  3. Step 3: Cross multiply
    17,537.31x = 24,201.59 × 10,461.96
  4. Step 4: Simplify right side
    17,537.31x = 253,196,014.21
  5. Step 5: Solve for x
    x = 253,196,014.21/17,537.31
  6. Step 6: Final answer
    x = 14,437.56

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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.