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Finding the Fourth Proportional to 17,729.94, 24,467.32 and 9,663.54

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Solution

The fourth proportional to 17,729.94, 24,467.32 and 9,663.54 is: 13,335.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,729.94 : 24,467.32 = 9,663.54 : x
  2. Step 2: Convert to fraction form
    17,729.94/24,467.32 = 9,663.54/x
  3. Step 3: Cross multiply
    17,729.94x = 24,467.32 × 9,663.54
  4. Step 4: Simplify right side
    17,729.94x = 236,440,925.51
  5. Step 5: Solve for x
    x = 236,440,925.51/17,729.94
  6. Step 6: Final answer
    x = 13,335.69

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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.