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Finding the Fourth Proportional to 17,658.63, 24,390.50 and 13,202.19

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Solution

The fourth proportional to 17,658.63, 24,390.50 and 13,202.19 is: 18,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,658.63 : 24,390.50 = 13,202.19 : x
  2. Step 2: Convert to fraction form
    17,658.63/24,390.50 = 13,202.19/x
  3. Step 3: Cross multiply
    17,658.63x = 24,390.50 × 13,202.19
  4. Step 4: Simplify right side
    17,658.63x = 322,007,949.18
  5. Step 5: Solve for x
    x = 322,007,949.18/17,658.63
  6. Step 6: Final answer
    x = 18,235.16

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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.