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Finding the Fourth Proportional to 17,666.28, 24,379.45 and 9,709.02

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Solution

The fourth proportional to 17,666.28, 24,379.45 and 9,709.02 is: 13,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.28 : 24,379.45 = 9,709.02 : x
  2. Step 2: Convert to fraction form
    17,666.28/24,379.45 = 9,709.02/x
  3. Step 3: Cross multiply
    17,666.28x = 24,379.45 × 9,709.02
  4. Step 4: Simplify right side
    17,666.28x = 236,700,567.64
  5. Step 5: Solve for x
    x = 236,700,567.64/17,666.28
  6. Step 6: Final answer
    x = 13,398.44

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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.