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Finding the Fourth Proportional to 17,604.16, 24,293.16 and 9,646.30

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Solution

The fourth proportional to 17,604.16, 24,293.16 and 9,646.30 is: 13,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,604.16 : 24,293.16 = 9,646.30 : x
  2. Step 2: Convert to fraction form
    17,604.16/24,293.16 = 9,646.30/x
  3. Step 3: Cross multiply
    17,604.16x = 24,293.16 × 9,646.30
  4. Step 4: Simplify right side
    17,604.16x = 234,339,109.31
  5. Step 5: Solve for x
    x = 234,339,109.31/17,604.16
  6. Step 6: Final answer
    x = 13,311.58

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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.