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Finding the Fourth Proportional to 17,562.42, 24,236.16 and 9,605.40

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Solution

The fourth proportional to 17,562.42, 24,236.16 and 9,605.40 is: 13,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,562.42 : 24,236.16 = 9,605.40 : x
  2. Step 2: Convert to fraction form
    17,562.42/24,236.16 = 9,605.40/x
  3. Step 3: Cross multiply
    17,562.42x = 24,236.16 × 9,605.40
  4. Step 4: Simplify right side
    17,562.42x = 232,798,011.26
  5. Step 5: Solve for x
    x = 232,798,011.26/17,562.42
  6. Step 6: Final answer
    x = 13,255.46

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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.