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Finding the Fourth Proportional to 17,733.21, 24,471.50 and 9,666.95

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Solution

The fourth proportional to 17,733.21, 24,471.50 and 9,666.95 is: 13,340.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.21 : 24,471.50 = 9,666.95 : x
  2. Step 2: Convert to fraction form
    17,733.21/24,471.50 = 9,666.95/x
  3. Step 3: Cross multiply
    17,733.21x = 24,471.50 × 9,666.95
  4. Step 4: Simplify right side
    17,733.21x = 236,564,718.59
  5. Step 5: Solve for x
    x = 236,564,718.59/17,733.21
  6. Step 6: Final answer
    x = 13,340.21

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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.