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Finding the Fourth Proportional to 17,733, 24,472.04 and 9,775.72

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Solution

The fourth proportional to 17,733, 24,472.04 and 9,775.72 is: 13,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,733 : 24,472.04 = 9,775.72 : x
  2. Step 2: Convert to fraction form
    17,733/24,472.04 = 9,775.72/x
  3. Step 3: Cross multiply
    17,733x = 24,472.04 × 9,775.72
  4. Step 4: Simplify right side
    17,733x = 239,231,810.87
  5. Step 5: Solve for x
    x = 239,231,810.87/17,733
  6. Step 6: Final answer
    x = 13,490.77

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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.