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Finding the Fourth Proportional to 17,765.96, 24,516.63 and 9,699.35

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Solution

The fourth proportional to 17,765.96, 24,516.63 and 9,699.35 is: 13,384.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.96 : 24,516.63 = 9,699.35 : x
  2. Step 2: Convert to fraction form
    17,765.96/24,516.63 = 9,699.35/x
  3. Step 3: Cross multiply
    17,765.96x = 24,516.63 × 9,699.35
  4. Step 4: Simplify right side
    17,765.96x = 237,795,252.61
  5. Step 5: Solve for x
    x = 237,795,252.61/17,765.96
  6. Step 6: Final answer
    x = 13,384.88

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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.