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Finding the Fourth Proportional to 17,668.04, 24,381.61 and 9,710.10

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Solution

The fourth proportional to 17,668.04, 24,381.61 and 9,710.10 is: 13,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.04 : 24,381.61 = 9,710.10 : x
  2. Step 2: Convert to fraction form
    17,668.04/24,381.61 = 9,710.10/x
  3. Step 3: Cross multiply
    17,668.04x = 24,381.61 × 9,710.10
  4. Step 4: Simplify right side
    17,668.04x = 236,747,871.26
  5. Step 5: Solve for x
    x = 236,747,871.26/17,668.04
  6. Step 6: Final answer
    x = 13,399.78

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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.