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Finding the Fourth Proportional to 17,704.18, 24,430.82 and 9,744.87

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Solution

The fourth proportional to 17,704.18, 24,430.82 and 9,744.87 is: 13,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704.18 : 24,430.82 = 9,744.87 : x
  2. Step 2: Convert to fraction form
    17,704.18/24,430.82 = 9,744.87/x
  3. Step 3: Cross multiply
    17,704.18x = 24,430.82 × 9,744.87
  4. Step 4: Simplify right side
    17,704.18x = 238,075,189.26
  5. Step 5: Solve for x
    x = 238,075,189.26/17,704.18
  6. Step 6: Final answer
    x = 13,447.40

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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.