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Finding the Fourth Proportional to 17,730.05, 24,467.15 and 9,772.07

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Solution

The fourth proportional to 17,730.05, 24,467.15 and 9,772.07 is: 13,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,730.05 : 24,467.15 = 9,772.07 : x
  2. Step 2: Convert to fraction form
    17,730.05/24,467.15 = 9,772.07/x
  3. Step 3: Cross multiply
    17,730.05x = 24,467.15 × 9,772.07
  4. Step 4: Simplify right side
    17,730.05x = 239,094,653.64
  5. Step 5: Solve for x
    x = 239,094,653.64/17,730.05
  6. Step 6: Final answer
    x = 13,485.28

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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.