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Finding the Fourth Proportional to 17,658.85, 24,369.60 and 9,701.53

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Solution

The fourth proportional to 17,658.85, 24,369.60 and 9,701.53 is: 13,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.85 : 24,369.60 = 9,701.53 : x
  2. Step 2: Convert to fraction form
    17,658.85/24,369.60 = 9,701.53/x
  3. Step 3: Cross multiply
    17,658.85x = 24,369.60 × 9,701.53
  4. Step 4: Simplify right side
    17,658.85x = 236,422,405.49
  5. Step 5: Solve for x
    x = 236,422,405.49/17,658.85
  6. Step 6: Final answer
    x = 13,388.32

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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.