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Finding the Fourth Proportional to 17,461.55, 24,097.17 and 9,907.31

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Solution

The fourth proportional to 17,461.55, 24,097.17 and 9,907.31 is: 13,672.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,461.55 : 24,097.17 = 9,907.31 : x
  2. Step 2: Convert to fraction form
    17,461.55/24,097.17 = 9,907.31/x
  3. Step 3: Cross multiply
    17,461.55x = 24,097.17 × 9,907.31
  4. Step 4: Simplify right side
    17,461.55x = 238,738,133.31
  5. Step 5: Solve for x
    x = 238,738,133.31/17,461.55
  6. Step 6: Final answer
    x = 13,672.22

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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.