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Finding the Fourth Proportional to 17,666.83, 24,380.15 and 9,709.39

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Solution

The fourth proportional to 17,666.83, 24,380.15 and 9,709.39 is: 13,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.83 : 24,380.15 = 9,709.39 : x
  2. Step 2: Convert to fraction form
    17,666.83/24,380.15 = 9,709.39/x
  3. Step 3: Cross multiply
    17,666.83x = 24,380.15 × 9,709.39
  4. Step 4: Simplify right side
    17,666.83x = 236,716,384.61
  5. Step 5: Solve for x
    x = 236,716,384.61/17,666.83
  6. Step 6: Final answer
    x = 13,398.92

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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.