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Finding the Fourth Proportional to 17,733.13, 24,471.88 and 9,775.64

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Solution

The fourth proportional to 17,733.13, 24,471.88 and 9,775.64 is: 13,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733.13 : 24,471.88 = 9,775.64 : x
  2. Step 2: Convert to fraction form
    17,733.13/24,471.88 = 9,775.64/x
  3. Step 3: Cross multiply
    17,733.13x = 24,471.88 × 9,775.64
  4. Step 4: Simplify right side
    17,733.13x = 239,228,289.00
  5. Step 5: Solve for x
    x = 239,228,289.00/17,733.13
  6. Step 6: Final answer
    x = 13,490.47

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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.