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Finding the Fourth Proportional to 17,630.77, 24,330.31 and 9,564.40

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Solution

The fourth proportional to 17,630.77, 24,330.31 and 9,564.40 is: 13,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,630.77 : 24,330.31 = 9,564.40 : x
  2. Step 2: Convert to fraction form
    17,630.77/24,330.31 = 9,564.40/x
  3. Step 3: Cross multiply
    17,630.77x = 24,330.31 × 9,564.40
  4. Step 4: Simplify right side
    17,630.77x = 232,704,695.31
  5. Step 5: Solve for x
    x = 232,704,695.31/17,630.77
  6. Step 6: Final answer
    x = 13,198.79

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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.